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Finding the Fourth Proportional to 311,046.61, 466,651.49 and 97,805.87

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Solution

The fourth proportional to 311,046.61, 466,651.49 and 97,805.87 is: 146,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,046.61 : 466,651.49 = 97,805.87 : x
  2. Step 2: Convert to fraction form
    311,046.61/466,651.49 = 97,805.87/x
  3. Step 3: Cross multiply
    311,046.61x = 466,651.49 × 97,805.87
  4. Step 4: Simplify right side
    311,046.61x = 45,641,255,643.85
  5. Step 5: Solve for x
    x = 45,641,255,643.85/311,046.61
  6. Step 6: Final answer
    x = 146,734.46

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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.