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Finding the Fourth Proportional to 515,531.97, 711,432.54 and 286,123.86

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Solution

The fourth proportional to 515,531.97, 711,432.54 and 286,123.86 is: 394,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,531.97 : 711,432.54 = 286,123.86 : x
  2. Step 2: Convert to fraction form
    515,531.97/711,432.54 = 286,123.86/x
  3. Step 3: Cross multiply
    515,531.97x = 711,432.54 × 286,123.86
  4. Step 4: Simplify right side
    515,531.97x = 203,557,824,474.40
  5. Step 5: Solve for x
    x = 203,557,824,474.40/515,531.97
  6. Step 6: Final answer
    x = 394,850.05

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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.