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Finding the Fourth Proportional to 619,411.40, 929,117.10 and 461,947.40

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Solution

The fourth proportional to 619,411.40, 929,117.10 and 461,947.40 is: 692,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,411.40 : 929,117.10 = 461,947.40 : x
  2. Step 2: Convert to fraction form
    619,411.40/929,117.10 = 461,947.40/x
  3. Step 3: Cross multiply
    619,411.40x = 929,117.10 × 461,947.40
  4. Step 4: Simplify right side
    619,411.40x = 429,203,228,640.54
  5. Step 5: Solve for x
    x = 429,203,228,640.54/619,411.40
  6. Step 6: Final answer
    x = 692,921.10

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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.