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Finding the Fourth Proportional to 547,731.92, 755,856.10 and 306,016.30

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Solution

The fourth proportional to 547,731.92, 755,856.10 and 306,016.30 is: 422,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,731.92 : 755,856.10 = 306,016.30 : x
  2. Step 2: Convert to fraction form
    547,731.92/755,856.10 = 306,016.30/x
  3. Step 3: Cross multiply
    547,731.92x = 755,856.10 × 306,016.30
  4. Step 4: Simplify right side
    547,731.92x = 231,304,286,289.39
  5. Step 5: Solve for x
    x = 231,304,286,289.39/547,731.92
  6. Step 6: Final answer
    x = 422,294.70

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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.