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Finding the Fourth Proportional to 502,762.14, 693,614.34 and 287,786.52

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Solution

The fourth proportional to 502,762.14, 693,614.34 and 287,786.52 is: 397,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,762.14 : 693,614.34 = 287,786.52 : x
  2. Step 2: Convert to fraction form
    502,762.14/693,614.34 = 287,786.52/x
  3. Step 3: Cross multiply
    502,762.14x = 693,614.34 × 287,786.52
  4. Step 4: Simplify right side
    502,762.14x = 199,612,857,130.70
  5. Step 5: Solve for x
    x = 199,612,857,130.70/502,762.14
  6. Step 6: Final answer
    x = 397,032.40

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