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Finding the Fourth Proportional to 389,797.11, 584,694.59 and 152,974.17

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Solution

The fourth proportional to 389,797.11, 584,694.59 and 152,974.17 is: 229,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,797.11 : 584,694.59 = 152,974.17 : x
  2. Step 2: Convert to fraction form
    389,797.11/584,694.59 = 152,974.17/x
  3. Step 3: Cross multiply
    389,797.11x = 584,694.59 × 152,974.17
  4. Step 4: Simplify right side
    389,797.11x = 89,443,168,843.87
  5. Step 5: Solve for x
    x = 89,443,168,843.87/389,797.11
  6. Step 6: Final answer
    x = 229,460.83

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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.