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Finding the Fourth Proportional to 486,006.10, 729,009.15 and 433,474.90

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Solution

The fourth proportional to 486,006.10, 729,009.15 and 433,474.90 is: 650,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,006.10 : 729,009.15 = 433,474.90 : x
  2. Step 2: Convert to fraction form
    486,006.10/729,009.15 = 433,474.90/x
  3. Step 3: Cross multiply
    486,006.10x = 729,009.15 × 433,474.90
  4. Step 4: Simplify right side
    486,006.10x = 316,007,168,395.34
  5. Step 5: Solve for x
    x = 316,007,168,395.34/486,006.10
  6. Step 6: Final answer
    x = 650,212.35

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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.