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Finding the Fourth Proportional to 313,223.38, 432,248.56 and 169,983.46

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Solution

The fourth proportional to 313,223.38, 432,248.56 and 169,983.46 is: 234,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,223.38 : 432,248.56 = 169,983.46 : x
  2. Step 2: Convert to fraction form
    313,223.38/432,248.56 = 169,983.46/x
  3. Step 3: Cross multiply
    313,223.38x = 432,248.56 × 169,983.46
  4. Step 4: Simplify right side
    313,223.38x = 73,475,105,808.82
  5. Step 5: Solve for x
    x = 73,475,105,808.82/313,223.38
  6. Step 6: Final answer
    x = 234,577.34

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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.