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Finding the Fourth Proportional to 417,622.50, 576,319.46 and 226,635.93

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Solution

The fourth proportional to 417,622.50, 576,319.46 and 226,635.93 is: 312,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,622.50 : 576,319.46 = 226,635.93 : x
  2. Step 2: Convert to fraction form
    417,622.50/576,319.46 = 226,635.93/x
  3. Step 3: Cross multiply
    417,622.50x = 576,319.46 × 226,635.93
  4. Step 4: Simplify right side
    417,622.50x = 130,614,695,661.02
  5. Step 5: Solve for x
    x = 130,614,695,661.02/417,622.50
  6. Step 6: Final answer
    x = 312,757.80

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