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Finding the Fourth Proportional to 392,107.36, 587,844.24 and 152,097.34

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Solution

The fourth proportional to 392,107.36, 587,844.24 and 152,097.34 is: 228,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,107.36 : 587,844.24 = 152,097.34 : x
  2. Step 2: Convert to fraction form
    392,107.36/587,844.24 = 152,097.34/x
  3. Step 3: Cross multiply
    392,107.36x = 587,844.24 × 152,097.34
  4. Step 4: Simplify right side
    392,107.36x = 89,409,545,238.32
  5. Step 5: Solve for x
    x = 89,409,545,238.32/392,107.36
  6. Step 6: Final answer
    x = 228,023.12

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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.