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Finding the Fourth Proportional to 312,792.88, 431,902.64 and 288,910.84

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Solution

The fourth proportional to 312,792.88, 431,902.64 and 288,910.84 is: 398,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,792.88 : 431,902.64 = 288,910.84 : x
  2. Step 2: Convert to fraction form
    312,792.88/431,902.64 = 288,910.84/x
  3. Step 3: Cross multiply
    312,792.88x = 431,902.64 × 288,910.84
  4. Step 4: Simplify right side
    312,792.88x = 124,781,354,520.62
  5. Step 5: Solve for x
    x = 124,781,354,520.62/312,792.88
  6. Step 6: Final answer
    x = 398,926.45

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1.5x scale

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.