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Finding the Fourth Proportional to 313,005.84, 431,957.82 and 177,037.11

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Solution

The fourth proportional to 313,005.84, 431,957.82 and 177,037.11 is: 244,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,005.84 : 431,957.82 = 177,037.11 : x
  2. Step 2: Convert to fraction form
    313,005.84/431,957.82 = 177,037.11/x
  3. Step 3: Cross multiply
    313,005.84x = 431,957.82 × 177,037.11
  4. Step 4: Simplify right side
    313,005.84x = 76,472,564,094.70
  5. Step 5: Solve for x
    x = 76,472,564,094.70/313,005.84
  6. Step 6: Final answer
    x = 244,316.73

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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.