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Finding the Fourth Proportional to 287,591.84, 396,877.12 and 160,264.64

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Solution

The fourth proportional to 287,591.84, 396,877.12 and 160,264.64 is: 221,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,591.84 : 396,877.12 = 160,264.64 : x
  2. Step 2: Convert to fraction form
    287,591.84/396,877.12 = 160,264.64/x
  3. Step 3: Cross multiply
    287,591.84x = 396,877.12 × 160,264.64
  4. Step 4: Simplify right side
    287,591.84x = 63,605,368,761.04
  5. Step 5: Solve for x
    x = 63,605,368,761.04/287,591.84
  6. Step 6: Final answer
    x = 221,165.42

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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.