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Finding the Fourth Proportional to 392,258.71, 587,882.30 and 189,807.23

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Solution

The fourth proportional to 392,258.71, 587,882.30 and 189,807.23 is: 284,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,258.71 : 587,882.30 = 189,807.23 : x
  2. Step 2: Convert to fraction form
    392,258.71/587,882.30 = 189,807.23/x
  3. Step 3: Cross multiply
    392,258.71x = 587,882.30 × 189,807.23
  4. Step 4: Simplify right side
    392,258.71x = 111,584,311,449.70
  5. Step 5: Solve for x
    x = 111,584,311,449.70/392,258.71
  6. Step 6: Final answer
    x = 284,466.11

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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.