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Finding the Fourth Proportional to 330,233.40, 495,366.30 and 172,769.40

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Solution

The fourth proportional to 330,233.40, 495,366.30 and 172,769.40 is: 259,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,233.40 : 495,366.30 = 172,769.40 : x
  2. Step 2: Convert to fraction form
    330,233.40/495,366.30 = 172,769.40/x
  3. Step 3: Cross multiply
    330,233.40x = 495,366.30 × 172,769.40
  4. Step 4: Simplify right side
    330,233.40x = 85,584,138,431.22
  5. Step 5: Solve for x
    x = 85,584,138,431.22/330,233.40
  6. Step 6: Final answer
    x = 259,162.58

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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.