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Finding the Fourth Proportional to 313,286.16, 432,328.04 and 170,046.48

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Solution

The fourth proportional to 313,286.16, 432,328.04 and 170,046.48 is: 234,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,286.16 : 432,328.04 = 170,046.48 : x
  2. Step 2: Convert to fraction form
    313,286.16/432,328.04 = 170,046.48/x
  3. Step 3: Cross multiply
    313,286.16x = 432,328.04 × 170,046.48
  4. Step 4: Simplify right side
    313,286.16x = 73,515,861,407.30
  5. Step 5: Solve for x
    x = 73,515,861,407.30/313,286.16
  6. Step 6: Final answer
    x = 234,660.42

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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.