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Finding the Fourth Proportional to 315,294.98, 472,939.34 and 144,468.27

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Solution

The fourth proportional to 315,294.98, 472,939.34 and 144,468.27 is: 216,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,294.98 : 472,939.34 = 144,468.27 : x
  2. Step 2: Convert to fraction form
    315,294.98/472,939.34 = 144,468.27/x
  3. Step 3: Cross multiply
    315,294.98x = 472,939.34 × 144,468.27
  4. Step 4: Simplify right side
    315,294.98x = 68,324,727,542.40
  5. Step 5: Solve for x
    x = 68,324,727,542.40/315,294.98
  6. Step 6: Final answer
    x = 216,700.97

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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.