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Finding the Fourth Proportional to 416,915.75, 625,367.01 and 132,602.20

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Solution

The fourth proportional to 416,915.75, 625,367.01 and 132,602.20 is: 198,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,915.75 : 625,367.01 = 132,602.20 : x
  2. Step 2: Convert to fraction form
    416,915.75/625,367.01 = 132,602.20/x
  3. Step 3: Cross multiply
    416,915.75x = 625,367.01 × 132,602.20
  4. Step 4: Simplify right side
    416,915.75x = 82,925,041,333.42
  5. Step 5: Solve for x
    x = 82,925,041,333.42/416,915.75
  6. Step 6: Final answer
    x = 198,901.20

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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.