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Finding the Fourth Proportional to 417,251.71, 575,807.34 and 226,265.55

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Solution

The fourth proportional to 417,251.71, 575,807.34 and 226,265.55 is: 312,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,251.71 : 575,807.34 = 226,265.55 : x
  2. Step 2: Convert to fraction form
    417,251.71/575,807.34 = 226,265.55/x
  3. Step 3: Cross multiply
    417,251.71x = 575,807.34 × 226,265.55
  4. Step 4: Simplify right side
    417,251.71x = 130,285,364,479.14
  5. Step 5: Solve for x
    x = 130,285,364,479.14/417,251.71
  6. Step 6: Final answer
    x = 312,246.45

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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.