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Finding the Fourth Proportional to 546,943.20, 820,414.80 and 513,700.80

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Solution

The fourth proportional to 546,943.20, 820,414.80 and 513,700.80 is: 770,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,943.20 : 820,414.80 = 513,700.80 : x
  2. Step 2: Convert to fraction form
    546,943.20/820,414.80 = 513,700.80/x
  3. Step 3: Cross multiply
    546,943.20x = 820,414.80 × 513,700.80
  4. Step 4: Simplify right side
    546,943.20x = 421,447,739,091.84
  5. Step 5: Solve for x
    x = 421,447,739,091.84/546,943.20
  6. Step 6: Final answer
    x = 770,551.20

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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.