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Finding the Fourth Proportional to 392,107.86, 587,844.99 and 152,097.84

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Solution

The fourth proportional to 392,107.86, 587,844.99 and 152,097.84 is: 228,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,107.86 : 587,844.99 = 152,097.84 : x
  2. Step 2: Convert to fraction form
    392,107.86/587,844.99 = 152,097.84/x
  3. Step 3: Cross multiply
    392,107.86x = 587,844.99 × 152,097.84
  4. Step 4: Simplify right side
    392,107.86x = 89,409,953,233.82
  5. Step 5: Solve for x
    x = 89,409,953,233.82/392,107.86
  6. Step 6: Final answer
    x = 228,023.87

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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.