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Finding the Fourth Proportional to 646,571.40, 969,857.10 and 197,291.40

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Solution

The fourth proportional to 646,571.40, 969,857.10 and 197,291.40 is: 295,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,571.40 : 969,857.10 = 197,291.40 : x
  2. Step 2: Convert to fraction form
    646,571.40/969,857.10 = 197,291.40/x
  3. Step 3: Cross multiply
    646,571.40x = 969,857.10 × 197,291.40
  4. Step 4: Simplify right side
    646,571.40x = 191,344,465,058.94
  5. Step 5: Solve for x
    x = 191,344,465,058.94/646,571.40
  6. Step 6: Final answer
    x = 295,937.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.