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Finding the Fourth Proportional to 417,704.58, 576,432.98 and 226,718.06

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Solution

The fourth proportional to 417,704.58, 576,432.98 and 226,718.06 is: 312,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,704.58 : 576,432.98 = 226,718.06 : x
  2. Step 2: Convert to fraction form
    417,704.58/576,432.98 = 226,718.06/x
  3. Step 3: Cross multiply
    417,704.58x = 576,432.98 × 226,718.06
  4. Step 4: Simplify right side
    417,704.58x = 130,687,762,929.86
  5. Step 5: Solve for x
    x = 130,687,762,929.86/417,704.58
  6. Step 6: Final answer
    x = 312,871.27

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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.