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Finding the Fourth Proportional to 417,862.20, 625,871.70 and 362,566.20

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Solution

The fourth proportional to 417,862.20, 625,871.70 and 362,566.20 is: 543,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,862.20 : 625,871.70 = 362,566.20 : x
  2. Step 2: Convert to fraction form
    417,862.20/625,871.70 = 362,566.20/x
  3. Step 3: Cross multiply
    417,862.20x = 625,871.70 × 362,566.20
  4. Step 4: Simplify right side
    417,862.20x = 226,919,923,956.54
  5. Step 5: Solve for x
    x = 226,919,923,956.54/417,862.20
  6. Step 6: Final answer
    x = 543,049.66

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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.