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Finding the Fourth Proportional to 485,042.92, 727,587.42 and 152,644.84

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Solution

The fourth proportional to 485,042.92, 727,587.42 and 152,644.84 is: 228,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,042.92 : 727,587.42 = 152,644.84 : x
  2. Step 2: Convert to fraction form
    485,042.92/727,587.42 = 152,644.84/x
  3. Step 3: Cross multiply
    485,042.92x = 727,587.42 × 152,644.84
  4. Step 4: Simplify right side
    485,042.92x = 111,062,465,311.91
  5. Step 5: Solve for x
    x = 111,062,465,311.91/485,042.92
  6. Step 6: Final answer
    x = 228,974.51

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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.