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Finding the Fourth Proportional to 438,034.78, 657,123.18 and 171,650.86

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Solution

The fourth proportional to 438,034.78, 657,123.18 and 171,650.86 is: 257,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,034.78 : 657,123.18 = 171,650.86 : x
  2. Step 2: Convert to fraction form
    438,034.78/657,123.18 = 171,650.86/x
  3. Step 3: Cross multiply
    438,034.78x = 657,123.18 × 171,650.86
  4. Step 4: Simplify right side
    438,034.78x = 112,795,758,972.94
  5. Step 5: Solve for x
    x = 112,795,758,972.94/438,034.78
  6. Step 6: Final answer
    x = 257,504.12

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Why These Related Problems?

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