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Finding the Fourth Proportional to 417,089.52, 625,213.60 and 164,272.32

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Solution

The fourth proportional to 417,089.52, 625,213.60 and 164,272.32 is: 246,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,089.52 : 625,213.60 = 164,272.32 : x
  2. Step 2: Convert to fraction form
    417,089.52/625,213.60 = 164,272.32/x
  3. Step 3: Cross multiply
    417,089.52x = 625,213.60 × 164,272.32
  4. Step 4: Simplify right side
    417,089.52x = 102,705,288,567.55
  5. Step 5: Solve for x
    x = 102,705,288,567.55/417,089.52
  6. Step 6: Final answer
    x = 246,242.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.