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Finding the Fourth Proportional to 417,231.34, 625,683.23 and 147,301.86

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Solution

The fourth proportional to 417,231.34, 625,683.23 and 147,301.86 is: 220,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,231.34 : 625,683.23 = 147,301.86 : x
  2. Step 2: Convert to fraction form
    417,231.34/625,683.23 = 147,301.86/x
  3. Step 3: Cross multiply
    417,231.34x = 625,683.23 × 147,301.86
  4. Step 4: Simplify right side
    417,231.34x = 92,164,305,711.99
  5. Step 5: Solve for x
    x = 92,164,305,711.99/417,231.34
  6. Step 6: Final answer
    x = 220,894.97

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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.