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Finding the Fourth Proportional to 323,196.60, 484,458.12 and 180,833.15

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Solution

The fourth proportional to 323,196.60, 484,458.12 and 180,833.15 is: 271,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,196.60 : 484,458.12 = 180,833.15 : x
  2. Step 2: Convert to fraction form
    323,196.60/484,458.12 = 180,833.15/x
  3. Step 3: Cross multiply
    323,196.60x = 484,458.12 × 180,833.15
  4. Step 4: Simplify right side
    323,196.60x = 87,606,087,476.99
  5. Step 5: Solve for x
    x = 87,606,087,476.99/323,196.60
  6. Step 6: Final answer
    x = 271,061.29

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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.