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Finding the Fourth Proportional to 646,994.40, 970,491.60 and 411,381.60

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Solution

The fourth proportional to 646,994.40, 970,491.60 and 411,381.60 is: 617,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,994.40 : 970,491.60 = 411,381.60 : x
  2. Step 2: Convert to fraction form
    646,994.40/970,491.60 = 411,381.60/x
  3. Step 3: Cross multiply
    646,994.40x = 970,491.60 × 411,381.60
  4. Step 4: Simplify right side
    646,994.40x = 399,242,387,194.56
  5. Step 5: Solve for x
    x = 399,242,387,194.56/646,994.40
  6. Step 6: Final answer
    x = 617,072.40

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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.