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Finding the Fourth Proportional to 417,583.75, 576,267.11 and 226,597.14

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Solution

The fourth proportional to 417,583.75, 576,267.11 and 226,597.14 is: 312,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,583.75 : 576,267.11 = 226,597.14 : x
  2. Step 2: Convert to fraction form
    417,583.75/576,267.11 = 226,597.14/x
  3. Step 3: Cross multiply
    417,583.75x = 576,267.11 × 226,597.14
  4. Step 4: Simplify right side
    417,583.75x = 130,580,479,002.07
  5. Step 5: Solve for x
    x = 130,580,479,002.07/417,583.75
  6. Step 6: Final answer
    x = 312,704.89

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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.