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Finding the Fourth Proportional to 417,583.74, 576,267.11 and 226,597.13

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Solution

The fourth proportional to 417,583.74, 576,267.11 and 226,597.13 is: 312,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,583.74 : 576,267.11 = 226,597.13 : x
  2. Step 2: Convert to fraction form
    417,583.74/576,267.11 = 226,597.13/x
  3. Step 3: Cross multiply
    417,583.74x = 576,267.11 × 226,597.13
  4. Step 4: Simplify right side
    417,583.74x = 130,580,473,239.39
  5. Step 5: Solve for x
    x = 130,580,473,239.39/417,583.74
  6. Step 6: Final answer
    x = 312,704.88

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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.