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Finding the Fourth Proportional to 286,221.96, 394,966.48 and 158,887.50

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Solution

The fourth proportional to 286,221.96, 394,966.48 and 158,887.50 is: 219,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,221.96 : 394,966.48 = 158,887.50 : x
  2. Step 2: Convert to fraction form
    286,221.96/394,966.48 = 158,887.50/x
  3. Step 3: Cross multiply
    286,221.96x = 394,966.48 × 158,887.50
  4. Step 4: Simplify right side
    286,221.96x = 62,755,236,591
  5. Step 5: Solve for x
    x = 62,755,236,591/286,221.96
  6. Step 6: Final answer
    x = 219,253.74

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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.