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Finding the Fourth Proportional to 295,932.42, 408,386.79 and 159,966

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Solution

The fourth proportional to 295,932.42, 408,386.79 and 159,966 is: 220,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,932.42 : 408,386.79 = 159,966 : x
  2. Step 2: Convert to fraction form
    295,932.42/408,386.79 = 159,966/x
  3. Step 3: Cross multiply
    295,932.42x = 408,386.79 × 159,966
  4. Step 4: Simplify right side
    295,932.42x = 65,328,001,249.14
  5. Step 5: Solve for x
    x = 65,328,001,249.14/295,932.42
  6. Step 6: Final answer
    x = 220,753.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.