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Finding the Fourth Proportional to 311,934.60, 467,901.90 and 101,593.80

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Solution

The fourth proportional to 311,934.60, 467,901.90 and 101,593.80 is: 152,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934.60 : 467,901.90 = 101,593.80 : x
  2. Step 2: Convert to fraction form
    311,934.60/467,901.90 = 101,593.80/x
  3. Step 3: Cross multiply
    311,934.60x = 467,901.90 × 101,593.80
  4. Step 4: Simplify right side
    311,934.60x = 47,535,932,048.22
  5. Step 5: Solve for x
    x = 47,535,932,048.22/311,934.60
  6. Step 6: Final answer
    x = 152,390.70

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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.