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Finding the Fourth Proportional to 582,564.80, 873,847.20 and 342,432.20

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Solution

The fourth proportional to 582,564.80, 873,847.20 and 342,432.20 is: 513,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,564.80 : 873,847.20 = 342,432.20 : x
  2. Step 2: Convert to fraction form
    582,564.80/873,847.20 = 342,432.20/x
  3. Step 3: Cross multiply
    582,564.80x = 873,847.20 × 342,432.20
  4. Step 4: Simplify right side
    582,564.80x = 299,233,419,159.84
  5. Step 5: Solve for x
    x = 299,233,419,159.84/582,564.80
  6. Step 6: Final answer
    x = 513,648.30

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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.