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Finding the Fourth Proportional to 298,960.75, 412,565.88 and 164,824.75

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Solution

The fourth proportional to 298,960.75, 412,565.88 and 164,824.75 is: 227,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,960.75 : 412,565.88 = 164,824.75 : x
  2. Step 2: Convert to fraction form
    298,960.75/412,565.88 = 164,824.75/x
  3. Step 3: Cross multiply
    298,960.75x = 412,565.88 × 164,824.75
  4. Step 4: Simplify right side
    298,960.75x = 68,001,068,029.53
  5. Step 5: Solve for x
    x = 68,001,068,029.53/298,960.75
  6. Step 6: Final answer
    x = 227,458.18

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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.