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Finding the Fourth Proportional to 417,714.08, 626,677.92 and 137,233.76

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Solution

The fourth proportional to 417,714.08, 626,677.92 and 137,233.76 is: 205,885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,714.08 : 626,677.92 = 137,233.76 : x
  2. Step 2: Convert to fraction form
    417,714.08/626,677.92 = 137,233.76/x
  3. Step 3: Cross multiply
    417,714.08x = 626,677.92 × 137,233.76
  4. Step 4: Simplify right side
    417,714.08x = 86,001,367,270.58
  5. Step 5: Solve for x
    x = 86,001,367,270.58/417,714.08
  6. Step 6: Final answer
    x = 205,885.73

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1.5x scale

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.