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Finding the Fourth Proportional to 609,878.93, 914,749.16 and 160,634.95

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Solution

The fourth proportional to 609,878.93, 914,749.16 and 160,634.95 is: 240,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,878.93 : 914,749.16 = 160,634.95 : x
  2. Step 2: Convert to fraction form
    609,878.93/914,749.16 = 160,634.95/x
  3. Step 3: Cross multiply
    609,878.93x = 914,749.16 × 160,634.95
  4. Step 4: Simplify right side
    609,878.93x = 146,940,682,489.09
  5. Step 5: Solve for x
    x = 146,940,682,489.09/609,878.93
  6. Step 6: Final answer
    x = 240,934.19

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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.