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Finding the Fourth Proportional to 392,351.58, 589,117.68 and 224,061.84

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Solution

The fourth proportional to 392,351.58, 589,117.68 and 224,061.84 is: 336,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,351.58 : 589,117.68 = 224,061.84 : x
  2. Step 2: Convert to fraction form
    392,351.58/589,117.68 = 224,061.84/x
  3. Step 3: Cross multiply
    392,351.58x = 589,117.68 × 224,061.84
  4. Step 4: Simplify right side
    392,351.58x = 131,998,791,357.33
  5. Step 5: Solve for x
    x = 131,998,791,357.33/392,351.58
  6. Step 6: Final answer
    x = 336,429.87

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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.