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Finding the Fourth Proportional to 417,003.90, 625,268.82 and 164,147.31

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Solution

The fourth proportional to 417,003.90, 625,268.82 and 164,147.31 is: 246,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,003.90 : 625,268.82 = 164,147.31 : x
  2. Step 2: Convert to fraction form
    417,003.90/625,268.82 = 164,147.31/x
  3. Step 3: Cross multiply
    417,003.90x = 625,268.82 × 164,147.31
  4. Step 4: Simplify right side
    417,003.90x = 102,636,194,829.87
  5. Step 5: Solve for x
    x = 102,636,194,829.87/417,003.90
  6. Step 6: Final answer
    x = 246,127.66

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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.