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Finding the Fourth Proportional to 540,839.30, 746,328 and 295,775.66

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Solution

The fourth proportional to 540,839.30, 746,328 and 295,775.66 is: 408,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,839.30 : 746,328 = 295,775.66 : x
  2. Step 2: Convert to fraction form
    540,839.30/746,328 = 295,775.66/x
  3. Step 3: Cross multiply
    540,839.30x = 746,328 × 295,775.66
  4. Step 4: Simplify right side
    540,839.30x = 220,745,656,776.48
  5. Step 5: Solve for x
    x = 220,745,656,776.48/540,839.30
  6. Step 6: Final answer
    x = 408,153.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.