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Finding the Fourth Proportional to 295,026.58, 407,132.85 and 165,964.73

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Solution

The fourth proportional to 295,026.58, 407,132.85 and 165,964.73 is: 229,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,026.58 : 407,132.85 = 165,964.73 : x
  2. Step 2: Convert to fraction form
    295,026.58/407,132.85 = 165,964.73/x
  3. Step 3: Cross multiply
    295,026.58x = 407,132.85 × 165,964.73
  4. Step 4: Simplify right side
    295,026.58x = 67,569,693,524.38
  5. Step 5: Solve for x
    x = 67,569,693,524.38/295,026.58
  6. Step 6: Final answer
    x = 229,029.17

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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.