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Finding the Fourth Proportional to 331,349.57, 497,024.35 and 82,031.57

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Solution

The fourth proportional to 331,349.57, 497,024.35 and 82,031.57 is: 123,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,349.57 : 497,024.35 = 82,031.57 : x
  2. Step 2: Convert to fraction form
    331,349.57/497,024.35 = 82,031.57/x
  3. Step 3: Cross multiply
    331,349.57x = 497,024.35 × 82,031.57
  4. Step 4: Simplify right side
    331,349.57x = 40,771,685,273.61
  5. Step 5: Solve for x
    x = 40,771,685,273.61/331,349.57
  6. Step 6: Final answer
    x = 123,047.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.