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Finding the Fourth Proportional to 392,822.36, 588,776.55 and 224,460.72

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Solution

The fourth proportional to 392,822.36, 588,776.55 and 224,460.72 is: 336,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,822.36 : 588,776.55 = 224,460.72 : x
  2. Step 2: Convert to fraction form
    392,822.36/588,776.55 = 224,460.72/x
  3. Step 3: Cross multiply
    392,822.36x = 588,776.55 × 224,460.72
  4. Step 4: Simplify right side
    392,822.36x = 132,157,207,490.39
  5. Step 5: Solve for x
    x = 132,157,207,490.39/392,822.36
  6. Step 6: Final answer
    x = 336,429.95

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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.