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Finding the Fourth Proportional to 313,266.49, 432,305.10 and 170,023.46

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Solution

The fourth proportional to 313,266.49, 432,305.10 and 170,023.46 is: 234,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,266.49 : 432,305.10 = 170,023.46 : x
  2. Step 2: Convert to fraction form
    313,266.49/432,305.10 = 170,023.46/x
  3. Step 3: Cross multiply
    313,266.49x = 432,305.10 × 170,023.46
  4. Step 4: Simplify right side
    313,266.49x = 73,502,006,716.12
  5. Step 5: Solve for x
    x = 73,502,006,716.12/313,266.49
  6. Step 6: Final answer
    x = 234,630.93

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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.