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Finding the Fourth Proportional to 311,083.80, 466,712.10 and 133,675.80

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Solution

The fourth proportional to 311,083.80, 466,712.10 and 133,675.80 is: 200,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,083.80 : 466,712.10 = 133,675.80 : x
  2. Step 2: Convert to fraction form
    311,083.80/466,712.10 = 133,675.80/x
  3. Step 3: Cross multiply
    311,083.80x = 466,712.10 × 133,675.80
  4. Step 4: Simplify right side
    311,083.80x = 62,388,113,337.18
  5. Step 5: Solve for x
    x = 62,388,113,337.18/311,083.80
  6. Step 6: Final answer
    x = 200,550.83

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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.