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Finding the Fourth Proportional to 313,107.40, 432,087.86 and 169,867.40

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Solution

The fourth proportional to 313,107.40, 432,087.86 and 169,867.40 is: 234,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,107.40 : 432,087.86 = 169,867.40 : x
  2. Step 2: Convert to fraction form
    313,107.40/432,087.86 = 169,867.40/x
  3. Step 3: Cross multiply
    313,107.40x = 432,087.86 × 169,867.40
  4. Step 4: Simplify right side
    313,107.40x = 73,397,641,349.76
  5. Step 5: Solve for x
    x = 73,397,641,349.76/313,107.40
  6. Step 6: Final answer
    x = 234,416.82

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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.