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Finding the Fourth Proportional to 417,203.52, 625,598.27 and 132,857.01

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Solution

The fourth proportional to 417,203.52, 625,598.27 and 132,857.01 is: 199,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,203.52 : 625,598.27 = 132,857.01 : x
  2. Step 2: Convert to fraction form
    417,203.52/625,598.27 = 132,857.01/x
  3. Step 3: Cross multiply
    417,203.52x = 625,598.27 × 132,857.01
  4. Step 4: Simplify right side
    417,203.52x = 83,115,114,949.09
  5. Step 5: Solve for x
    x = 83,115,114,949.09/417,203.52
  6. Step 6: Final answer
    x = 199,219.59

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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.