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Finding the Fourth Proportional to 313,495.38, 432,650.57 and 177,553.28

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Solution

The fourth proportional to 313,495.38, 432,650.57 and 177,553.28 is: 245,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,495.38 : 432,650.57 = 177,553.28 : x
  2. Step 2: Convert to fraction form
    313,495.38/432,650.57 = 177,553.28/x
  3. Step 3: Cross multiply
    313,495.38x = 432,650.57 × 177,553.28
  4. Step 4: Simplify right side
    313,495.38x = 76,818,527,991.23
  5. Step 5: Solve for x
    x = 76,818,527,991.23/313,495.38
  6. Step 6: Final answer
    x = 245,038.79

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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.