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Finding the Fourth Proportional to 309,895.70, 465,092.64 and 160,179.84

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Solution

The fourth proportional to 309,895.70, 465,092.64 and 160,179.84 is: 240,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,895.70 : 465,092.64 = 160,179.84 : x
  2. Step 2: Convert to fraction form
    309,895.70/465,092.64 = 160,179.84/x
  3. Step 3: Cross multiply
    309,895.70x = 465,092.64 × 160,179.84
  4. Step 4: Simplify right side
    309,895.70x = 74,498,464,660.38
  5. Step 5: Solve for x
    x = 74,498,464,660.38/309,895.70
  6. Step 6: Final answer
    x = 240,398.51

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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.