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Finding the Fourth Proportional to 313,084.50, 432,056.61 and 178,951.38

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Solution

The fourth proportional to 313,084.50, 432,056.61 and 178,951.38 is: 246,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,084.50 : 432,056.61 = 178,951.38 : x
  2. Step 2: Convert to fraction form
    313,084.50/432,056.61 = 178,951.38/x
  3. Step 3: Cross multiply
    313,084.50x = 432,056.61 × 178,951.38
  4. Step 4: Simplify right side
    313,084.50x = 77,317,126,597.62
  5. Step 5: Solve for x
    x = 77,317,126,597.62/313,084.50
  6. Step 6: Final answer
    x = 246,952.90

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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.