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Finding the Fourth Proportional to 523,327.47, 722,269.98 and 319,496.54

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Solution

The fourth proportional to 523,327.47, 722,269.98 and 319,496.54 is: 440,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,327.47 : 722,269.98 = 319,496.54 : x
  2. Step 2: Convert to fraction form
    523,327.47/722,269.98 = 319,496.54/x
  3. Step 3: Cross multiply
    523,327.47x = 722,269.98 × 319,496.54
  4. Step 4: Simplify right side
    523,327.47x = 230,762,755,944.52
  5. Step 5: Solve for x
    x = 230,762,755,944.52/523,327.47
  6. Step 6: Final answer
    x = 440,952.88

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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.