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Finding the Fourth Proportional to 313,286.48, 432,335.72 and 170,046.52

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Solution

The fourth proportional to 313,286.48, 432,335.72 and 170,046.52 is: 234,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,286.48 : 432,335.72 = 170,046.52 : x
  2. Step 2: Convert to fraction form
    313,286.48/432,335.72 = 170,046.52/x
  3. Step 3: Cross multiply
    313,286.48x = 432,335.72 × 170,046.52
  4. Step 4: Simplify right side
    313,286.48x = 73,517,184,657.69
  5. Step 5: Solve for x
    x = 73,517,184,657.69/313,286.48
  6. Step 6: Final answer
    x = 234,664.40

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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.