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Finding the Fourth Proportional to 314,003.45, 433,311.62 and 178,046.61

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Solution

The fourth proportional to 314,003.45, 433,311.62 and 178,046.61 is: 245,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,003.45 : 433,311.62 = 178,046.61 : x
  2. Step 2: Convert to fraction form
    314,003.45/433,311.62 = 178,046.61/x
  3. Step 3: Cross multiply
    314,003.45x = 433,311.62 × 178,046.61
  4. Step 4: Simplify right side
    314,003.45x = 77,149,664,124.38
  5. Step 5: Solve for x
    x = 77,149,664,124.38/314,003.45
  6. Step 6: Final answer
    x = 245,696.87

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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.