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Finding the Fourth Proportional to 313,382.40, 432,468 and 170,142.36

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Solution

The fourth proportional to 313,382.40, 432,468 and 170,142.36 is: 234,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,382.40 : 432,468 = 170,142.36 : x
  2. Step 2: Convert to fraction form
    313,382.40/432,468 = 170,142.36/x
  3. Step 3: Cross multiply
    313,382.40x = 432,468 × 170,142.36
  4. Step 4: Simplify right side
    313,382.40x = 73,581,126,144.48
  5. Step 5: Solve for x
    x = 73,581,126,144.48/313,382.40
  6. Step 6: Final answer
    x = 234,796.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.