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Finding the Fourth Proportional to 417,614.46, 576,308.32 and 226,627.85

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Solution

The fourth proportional to 417,614.46, 576,308.32 and 226,627.85 is: 312,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,614.46 : 576,308.32 = 226,627.85 : x
  2. Step 2: Convert to fraction form
    417,614.46/576,308.32 = 226,627.85/x
  3. Step 3: Cross multiply
    417,614.46x = 576,308.32 × 226,627.85
  4. Step 4: Simplify right side
    417,614.46x = 130,607,515,498.71
  5. Step 5: Solve for x
    x = 130,607,515,498.71/417,614.46
  6. Step 6: Final answer
    x = 312,746.63

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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.