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Finding the Fourth Proportional to 313,286.06, 432,335.16 and 170,046.06

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Solution

The fourth proportional to 313,286.06, 432,335.16 and 170,046.06 is: 234,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,286.06 : 432,335.16 = 170,046.06 : x
  2. Step 2: Convert to fraction form
    313,286.06/432,335.16 = 170,046.06/x
  3. Step 3: Cross multiply
    313,286.06x = 432,335.16 × 170,046.06
  4. Step 4: Simplify right side
    313,286.06x = 73,516,890,557.47
  5. Step 5: Solve for x
    x = 73,516,890,557.47/313,286.06
  6. Step 6: Final answer
    x = 234,663.78

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1.5x scale

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.