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Finding the Fourth Proportional to 319,954.62, 441,499.61 and 176,706.12

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Solution

The fourth proportional to 319,954.62, 441,499.61 and 176,706.12 is: 243,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,954.62 : 441,499.61 = 176,706.12 : x
  2. Step 2: Convert to fraction form
    319,954.62/441,499.61 = 176,706.12/x
  3. Step 3: Cross multiply
    319,954.62x = 441,499.61 × 176,706.12
  4. Step 4: Simplify right side
    319,954.62x = 78,015,685,162.00
  5. Step 5: Solve for x
    x = 78,015,685,162.00/319,954.62
  6. Step 6: Final answer
    x = 243,833.59

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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.