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Finding the Fourth Proportional to 413,276.80, 619,915.20 and 132,822.40

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Solution

The fourth proportional to 413,276.80, 619,915.20 and 132,822.40 is: 199,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,276.80 : 619,915.20 = 132,822.40 : x
  2. Step 2: Convert to fraction form
    413,276.80/619,915.20 = 132,822.40/x
  3. Step 3: Cross multiply
    413,276.80x = 619,915.20 × 132,822.40
  4. Step 4: Simplify right side
    413,276.80x = 82,338,624,660.48
  5. Step 5: Solve for x
    x = 82,338,624,660.48/413,276.80
  6. Step 6: Final answer
    x = 199,233.60

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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.