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Finding the Fourth Proportional to 502,747.75, 693,719.75 and 295,893.19

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Solution

The fourth proportional to 502,747.75, 693,719.75 and 295,893.19 is: 408,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,747.75 : 693,719.75 = 295,893.19 : x
  2. Step 2: Convert to fraction form
    502,747.75/693,719.75 = 295,893.19/x
  3. Step 3: Cross multiply
    502,747.75x = 693,719.75 × 295,893.19
  4. Step 4: Simplify right side
    502,747.75x = 205,266,948,314.04
  5. Step 5: Solve for x
    x = 205,266,948,314.04/502,747.75
  6. Step 6: Final answer
    x = 408,290.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.