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Finding the Fourth Proportional to 546,775.80, 820,293.30 and 280,577.40

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Solution

The fourth proportional to 546,775.80, 820,293.30 and 280,577.40 is: 420,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,775.80 : 820,293.30 = 280,577.40 : x
  2. Step 2: Convert to fraction form
    546,775.80/820,293.30 = 280,577.40/x
  3. Step 3: Cross multiply
    546,775.80x = 820,293.30 × 280,577.40
  4. Step 4: Simplify right side
    546,775.80x = 230,155,761,351.42
  5. Step 5: Solve for x
    x = 230,155,761,351.42/546,775.80
  6. Step 6: Final answer
    x = 420,932.60

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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.