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Finding the Fourth Proportional to 502,743.70, 754,115.55 and 461,409.40

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Solution

The fourth proportional to 502,743.70, 754,115.55 and 461,409.40 is: 692,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,743.70 : 754,115.55 = 461,409.40 : x
  2. Step 2: Convert to fraction form
    502,743.70/754,115.55 = 461,409.40/x
  3. Step 3: Cross multiply
    502,743.70x = 754,115.55 × 461,409.40
  4. Step 4: Simplify right side
    502,743.70x = 347,956,003,456.17
  5. Step 5: Solve for x
    x = 347,956,003,456.17/502,743.70
  6. Step 6: Final answer
    x = 692,114.10

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