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Finding the Fourth Proportional to 392,254.76, 588,382.14 and 274,156.76

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Solution

The fourth proportional to 392,254.76, 588,382.14 and 274,156.76 is: 411,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,254.76 : 588,382.14 = 274,156.76 : x
  2. Step 2: Convert to fraction form
    392,254.76/588,382.14 = 274,156.76/x
  3. Step 3: Cross multiply
    392,254.76x = 588,382.14 × 274,156.76
  4. Step 4: Simplify right side
    392,254.76x = 161,308,938,202.36
  5. Step 5: Solve for x
    x = 161,308,938,202.36/392,254.76
  6. Step 6: Final answer
    x = 411,235.14

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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.