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Finding the Fourth Proportional to 478,151.82, 658,425.24 and 467,542.98

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Solution

The fourth proportional to 478,151.82, 658,425.24 and 467,542.98 is: 643,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,151.82 : 658,425.24 = 467,542.98 : x
  2. Step 2: Convert to fraction form
    478,151.82/658,425.24 = 467,542.98/x
  3. Step 3: Cross multiply
    478,151.82x = 658,425.24 × 467,542.98
  4. Step 4: Simplify right side
    478,151.82x = 307,842,098,816.82
  5. Step 5: Solve for x
    x = 307,842,098,816.82/478,151.82
  6. Step 6: Final answer
    x = 643,816.64

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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.