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Finding the Fourth Proportional to 384,601.54, 576,902.76 and 100,291.84

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Solution

The fourth proportional to 384,601.54, 576,902.76 and 100,291.84 is: 150,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,601.54 : 576,902.76 = 100,291.84 : x
  2. Step 2: Convert to fraction form
    384,601.54/576,902.76 = 100,291.84/x
  3. Step 3: Cross multiply
    384,601.54x = 576,902.76 × 100,291.84
  4. Step 4: Simplify right side
    384,601.54x = 57,858,639,301.48
  5. Step 5: Solve for x
    x = 57,858,639,301.48/384,601.54
  6. Step 6: Final answer
    x = 150,437.88

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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.