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Finding the Fourth Proportional to 313,766.40, 432,838.12 and 204,934.48

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Solution

The fourth proportional to 313,766.40, 432,838.12 and 204,934.48 is: 282,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,766.40 : 432,838.12 = 204,934.48 : x
  2. Step 2: Convert to fraction form
    313,766.40/432,838.12 = 204,934.48/x
  3. Step 3: Cross multiply
    313,766.40x = 432,838.12 × 204,934.48
  4. Step 4: Simplify right side
    313,766.40x = 88,703,455,046.38
  5. Step 5: Solve for x
    x = 88,703,455,046.38/313,766.40
  6. Step 6: Final answer
    x = 282,705.40

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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.