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Finding the Fourth Proportional to 311,712.60, 467,568.90 and 101,371.80

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Solution

The fourth proportional to 311,712.60, 467,568.90 and 101,371.80 is: 152,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,712.60 : 467,568.90 = 101,371.80 : x
  2. Step 2: Convert to fraction form
    311,712.60/467,568.90 = 101,371.80/x
  3. Step 3: Cross multiply
    311,712.60x = 467,568.90 × 101,371.80
  4. Step 4: Simplify right side
    311,712.60x = 47,398,301,017.02
  5. Step 5: Solve for x
    x = 47,398,301,017.02/311,712.60
  6. Step 6: Final answer
    x = 152,057.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.