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Finding the Fourth Proportional to 546,744.80, 820,246.80 and 280,546.40

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Solution

The fourth proportional to 546,744.80, 820,246.80 and 280,546.40 is: 420,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,744.80 : 820,246.80 = 280,546.40 : x
  2. Step 2: Convert to fraction form
    546,744.80/820,246.80 = 280,546.40/x
  3. Step 3: Cross multiply
    546,744.80x = 820,246.80 × 280,546.40
  4. Step 4: Simplify right side
    546,744.80x = 230,117,286,851.52
  5. Step 5: Solve for x
    x = 230,117,286,851.52/546,744.80
  6. Step 6: Final answer
    x = 420,886.10

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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.