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Finding the Fourth Proportional to 311,053.60, 466,234.80 and 133,530.40

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Solution

The fourth proportional to 311,053.60, 466,234.80 and 133,530.40 is: 200,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,053.60 : 466,234.80 = 133,530.40 : x
  2. Step 2: Convert to fraction form
    311,053.60/466,234.80 = 133,530.40/x
  3. Step 3: Cross multiply
    311,053.60x = 466,234.80 × 133,530.40
  4. Step 4: Simplify right side
    311,053.60x = 62,256,519,337.92
  5. Step 5: Solve for x
    x = 62,256,519,337.92/311,053.60
  6. Step 6: Final answer
    x = 200,147.24

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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.