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Finding the Fourth Proportional to 502,744.65, 693,792.12 and 273,302.38

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Solution

The fourth proportional to 502,744.65, 693,792.12 and 273,302.38 is: 377,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,744.65 : 693,792.12 = 273,302.38 : x
  2. Step 2: Convert to fraction form
    502,744.65/693,792.12 = 273,302.38/x
  3. Step 3: Cross multiply
    502,744.65x = 693,792.12 × 273,302.38
  4. Step 4: Simplify right side
    502,744.65x = 189,615,037,621.25
  5. Step 5: Solve for x
    x = 189,615,037,621.25/502,744.65
  6. Step 6: Final answer
    x = 377,159.73

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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.