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Finding the Fourth Proportional to 297,028.76, 409,766.87 and 176,175.14

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Solution

The fourth proportional to 297,028.76, 409,766.87 and 176,175.14 is: 243,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,028.76 : 409,766.87 = 176,175.14 : x
  2. Step 2: Convert to fraction form
    297,028.76/409,766.87 = 176,175.14/x
  3. Step 3: Cross multiply
    297,028.76x = 409,766.87 × 176,175.14
  4. Step 4: Simplify right side
    297,028.76x = 72,190,734,808.74
  5. Step 5: Solve for x
    x = 72,190,734,808.74/297,028.76
  6. Step 6: Final answer
    x = 243,042.91

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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.