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Finding the Fourth Proportional to 447,711.20, 671,566.80 and 398,722.40

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Solution

The fourth proportional to 447,711.20, 671,566.80 and 398,722.40 is: 598,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,711.20 : 671,566.80 = 398,722.40 : x
  2. Step 2: Convert to fraction form
    447,711.20/671,566.80 = 398,722.40/x
  3. Step 3: Cross multiply
    447,711.20x = 671,566.80 × 398,722.40
  4. Step 4: Simplify right side
    447,711.20x = 267,768,726,256.32
  5. Step 5: Solve for x
    x = 267,768,726,256.32/447,711.20
  6. Step 6: Final answer
    x = 598,083.60

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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.