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Finding the Fourth Proportional to 438,677.80, 656,850.30 and 280,047.40

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Solution

The fourth proportional to 438,677.80, 656,850.30 and 280,047.40 is: 419,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,677.80 : 656,850.30 = 280,047.40 : x
  2. Step 2: Convert to fraction form
    438,677.80/656,850.30 = 280,047.40/x
  3. Step 3: Cross multiply
    438,677.80x = 656,850.30 × 280,047.40
  4. Step 4: Simplify right side
    438,677.80x = 183,949,218,704.22
  5. Step 5: Solve for x
    x = 183,949,218,704.22/438,677.80
  6. Step 6: Final answer
    x = 419,326.48

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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.