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Finding the Fourth Proportional to 417,205.94, 625,601.84 and 132,859.42

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Solution

The fourth proportional to 417,205.94, 625,601.84 and 132,859.42 is: 199,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,205.94 : 625,601.84 = 132,859.42 : x
  2. Step 2: Convert to fraction form
    417,205.94/625,601.84 = 132,859.42/x
  3. Step 3: Cross multiply
    417,205.94x = 625,601.84 × 132,859.42
  4. Step 4: Simplify right side
    417,205.94x = 83,117,094,485.32
  5. Step 5: Solve for x
    x = 83,117,094,485.32/417,205.94
  6. Step 6: Final answer
    x = 199,223.18

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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.