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Finding the Fourth Proportional to 309,266.26, 463,909.11 and 147,124.90

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Solution

The fourth proportional to 309,266.26, 463,909.11 and 147,124.90 is: 220,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,266.26 : 463,909.11 = 147,124.90 : x
  2. Step 2: Convert to fraction form
    309,266.26/463,909.11 = 147,124.90/x
  3. Step 3: Cross multiply
    309,266.26x = 463,909.11 × 147,124.90
  4. Step 4: Simplify right side
    309,266.26x = 68,252,581,417.84
  5. Step 5: Solve for x
    x = 68,252,581,417.84/309,266.26
  6. Step 6: Final answer
    x = 220,691.97

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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.