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Finding the Fourth Proportional to 502,773.16, 693,727.48 and 282,017.56

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Solution

The fourth proportional to 502,773.16, 693,727.48 and 282,017.56 is: 389,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,773.16 : 693,727.48 = 282,017.56 : x
  2. Step 2: Convert to fraction form
    502,773.16/693,727.48 = 282,017.56/x
  3. Step 3: Cross multiply
    502,773.16x = 693,727.48 × 282,017.56
  4. Step 4: Simplify right side
    502,773.16x = 195,643,331,214.55
  5. Step 5: Solve for x
    x = 195,643,331,214.55/502,773.16
  6. Step 6: Final answer
    x = 389,128.43

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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.