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Finding the Fourth Proportional to 311,009.40, 466,514.10 and 133,486.20

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Solution

The fourth proportional to 311,009.40, 466,514.10 and 133,486.20 is: 200,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,009.40 : 466,514.10 = 133,486.20 : x
  2. Step 2: Convert to fraction form
    311,009.40/466,514.10 = 133,486.20/x
  3. Step 3: Cross multiply
    311,009.40x = 466,514.10 × 133,486.20
  4. Step 4: Simplify right side
    311,009.40x = 62,273,194,455.42
  5. Step 5: Solve for x
    x = 62,273,194,455.42/311,009.40
  6. Step 6: Final answer
    x = 200,229.30

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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.