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Finding the Fourth Proportional to 515,638.17, 711,575.25 and 286,197.42

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Solution

The fourth proportional to 515,638.17, 711,575.25 and 286,197.42 is: 394,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,638.17 : 711,575.25 = 286,197.42 : x
  2. Step 2: Convert to fraction form
    515,638.17/711,575.25 = 286,197.42/x
  3. Step 3: Cross multiply
    515,638.17x = 711,575.25 × 286,197.42
  4. Step 4: Simplify right side
    515,638.17x = 203,651,000,685.86
  5. Step 5: Solve for x
    x = 203,651,000,685.86/515,638.17
  6. Step 6: Final answer
    x = 394,949.43

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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.