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Finding the Fourth Proportional to 417,705.80, 576,432.06 and 226,717.52

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Solution

The fourth proportional to 417,705.80, 576,432.06 and 226,717.52 is: 312,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,705.80 : 576,432.06 = 226,717.52 : x
  2. Step 2: Convert to fraction form
    417,705.80/576,432.06 = 226,717.52/x
  3. Step 3: Cross multiply
    417,705.80x = 576,432.06 × 226,717.52
  4. Step 4: Simplify right side
    417,705.80x = 130,687,247,091.69
  5. Step 5: Solve for x
    x = 130,687,247,091.69/417,705.80
  6. Step 6: Final answer
    x = 312,869.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.