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Finding the Fourth Proportional to 289,905.75, 400,113.68 and 176,794.11

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Solution

The fourth proportional to 289,905.75, 400,113.68 and 176,794.11 is: 244,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,905.75 : 400,113.68 = 176,794.11 : x
  2. Step 2: Convert to fraction form
    289,905.75/400,113.68 = 176,794.11/x
  3. Step 3: Cross multiply
    289,905.75x = 400,113.68 × 176,794.11
  4. Step 4: Simplify right side
    289,905.75x = 70,737,741,070.45
  5. Step 5: Solve for x
    x = 70,737,741,070.45/289,905.75
  6. Step 6: Final answer
    x = 244,002.55

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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.