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Finding the Fourth Proportional to 392,257.01, 588,385.52 and 274,159.01

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Solution

The fourth proportional to 392,257.01, 588,385.52 and 274,159.01 is: 411,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,257.01 : 588,385.52 = 274,159.01 : x
  2. Step 2: Convert to fraction form
    392,257.01/588,385.52 = 274,159.01/x
  3. Step 3: Cross multiply
    392,257.01x = 588,385.52 × 274,159.01
  4. Step 4: Simplify right side
    392,257.01x = 161,311,191,661.54
  5. Step 5: Solve for x
    x = 161,311,191,661.54/392,257.01
  6. Step 6: Final answer
    x = 411,238.52

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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.