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Finding the Fourth Proportional to 313,220.38, 432,244.42 and 169,980.44

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Solution

The fourth proportional to 313,220.38, 432,244.42 and 169,980.44 is: 234,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,220.38 : 432,244.42 = 169,980.44 : x
  2. Step 2: Convert to fraction form
    313,220.38/432,244.42 = 169,980.44/x
  3. Step 3: Cross multiply
    313,220.38x = 432,244.42 × 169,980.44
  4. Step 4: Simplify right side
    313,220.38x = 73,473,096,699.14
  5. Step 5: Solve for x
    x = 73,473,096,699.14/313,220.38
  6. Step 6: Final answer
    x = 234,573.17

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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.