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Finding the Fourth Proportional to 309,895.61, 465,092.55 and 160,179.77

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Solution

The fourth proportional to 309,895.61, 465,092.55 and 160,179.77 is: 240,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,895.61 : 465,092.55 = 160,179.77 : x
  2. Step 2: Convert to fraction form
    309,895.61/465,092.55 = 160,179.77/x
  3. Step 3: Cross multiply
    309,895.61x = 465,092.55 × 160,179.77
  4. Step 4: Simplify right side
    309,895.61x = 74,498,414,961.80
  5. Step 5: Solve for x
    x = 74,498,414,961.80/309,895.61
  6. Step 6: Final answer
    x = 240,398.42

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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.