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Finding the Fourth Proportional to 314,803.70, 434,375.90 and 176,964.26

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Solution

The fourth proportional to 314,803.70, 434,375.90 and 176,964.26 is: 244,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,803.70 : 434,375.90 = 176,964.26 : x
  2. Step 2: Convert to fraction form
    314,803.70/434,375.90 = 176,964.26/x
  3. Step 3: Cross multiply
    314,803.70x = 434,375.90 × 176,964.26
  4. Step 4: Simplify right side
    314,803.70x = 76,869,006,648.63
  5. Step 5: Solve for x
    x = 76,869,006,648.63/314,803.70
  6. Step 6: Final answer
    x = 244,180.76

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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.