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Finding the Fourth Proportional to 510,542.34, 704,766.48 and 363,462.14

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Solution

The fourth proportional to 510,542.34, 704,766.48 and 363,462.14 is: 501,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,542.34 : 704,766.48 = 363,462.14 : x
  2. Step 2: Convert to fraction form
    510,542.34/704,766.48 = 363,462.14/x
  3. Step 3: Cross multiply
    510,542.34x = 704,766.48 × 363,462.14
  4. Step 4: Simplify right side
    510,542.34x = 256,155,933,021.07
  5. Step 5: Solve for x
    x = 256,155,933,021.07/510,542.34
  6. Step 6: Final answer
    x = 501,732.99

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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.