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Finding the Fourth Proportional to 423,876.54, 584,949.15 and 232,889.46

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Solution

The fourth proportional to 423,876.54, 584,949.15 and 232,889.46 is: 321,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,876.54 : 584,949.15 = 232,889.46 : x
  2. Step 2: Convert to fraction form
    423,876.54/584,949.15 = 232,889.46/x
  3. Step 3: Cross multiply
    423,876.54x = 584,949.15 × 232,889.46
  4. Step 4: Simplify right side
    423,876.54x = 136,228,491,670.96
  5. Step 5: Solve for x
    x = 136,228,491,670.96/423,876.54
  6. Step 6: Final answer
    x = 321,387.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.