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Finding the Fourth Proportional to 546,535.80, 819,803.70 and 280,815.30

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Solution

The fourth proportional to 546,535.80, 819,803.70 and 280,815.30 is: 421,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,535.80 : 819,803.70 = 280,815.30 : x
  2. Step 2: Convert to fraction form
    546,535.80/819,803.70 = 280,815.30/x
  3. Step 3: Cross multiply
    546,535.80x = 819,803.70 × 280,815.30
  4. Step 4: Simplify right side
    546,535.80x = 230,213,421,956.61
  5. Step 5: Solve for x
    x = 230,213,421,956.61/546,535.80
  6. Step 6: Final answer
    x = 421,222.95

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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.