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Finding the Fourth Proportional to 417,708.76, 576,438.60 and 226,722.10

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Solution

The fourth proportional to 417,708.76, 576,438.60 and 226,722.10 is: 312,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,708.76 : 576,438.60 = 226,722.10 : x
  2. Step 2: Convert to fraction form
    417,708.76/576,438.60 = 226,722.10/x
  3. Step 3: Cross multiply
    417,708.76x = 576,438.60 × 226,722.10
  4. Step 4: Simplify right side
    417,708.76x = 130,691,369,913.06
  5. Step 5: Solve for x
    x = 130,691,369,913.06/417,708.76
  6. Step 6: Final answer
    x = 312,876.78

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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.