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Finding the Fourth Proportional to 417,203.15, 625,597.68 and 132,856.64

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Solution

The fourth proportional to 417,203.15, 625,597.68 and 132,856.64 is: 199,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,203.15 : 625,597.68 = 132,856.64 : x
  2. Step 2: Convert to fraction form
    417,203.15/625,597.68 = 132,856.64/x
  3. Step 3: Cross multiply
    417,203.15x = 625,597.68 × 132,856.64
  4. Step 4: Simplify right side
    417,203.15x = 83,114,805,472.81
  5. Step 5: Solve for x
    x = 83,114,805,472.81/417,203.15
  6. Step 6: Final answer
    x = 199,219.03

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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.