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Finding the Fourth Proportional to 323,414.40, 484,948.80 and 136,214.40

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Solution

The fourth proportional to 323,414.40, 484,948.80 and 136,214.40 is: 204,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,414.40 : 484,948.80 = 136,214.40 : x
  2. Step 2: Convert to fraction form
    323,414.40/484,948.80 = 136,214.40/x
  3. Step 3: Cross multiply
    323,414.40x = 484,948.80 × 136,214.40
  4. Step 4: Simplify right side
    323,414.40x = 66,057,009,822.72
  5. Step 5: Solve for x
    x = 66,057,009,822.72/323,414.40
  6. Step 6: Final answer
    x = 204,248.82

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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.