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Finding the Fourth Proportional to 417,178.34, 625,123.44 and 281,711.54

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Solution

The fourth proportional to 417,178.34, 625,123.44 and 281,711.54 is: 422,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,178.34 : 625,123.44 = 281,711.54 : x
  2. Step 2: Convert to fraction form
    417,178.34/625,123.44 = 281,711.54/x
  3. Step 3: Cross multiply
    417,178.34x = 625,123.44 × 281,711.54
  4. Step 4: Simplify right side
    417,178.34x = 176,104,486,972.50
  5. Step 5: Solve for x
    x = 176,104,486,972.50/417,178.34
  6. Step 6: Final answer
    x = 422,132.38

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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.