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Finding the Fourth Proportional to 226,957.19, 313,217.57 and 162,432.48

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Solution

The fourth proportional to 226,957.19, 313,217.57 and 162,432.48 is: 224,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,957.19 : 313,217.57 = 162,432.48 : x
  2. Step 2: Convert to fraction form
    226,957.19/313,217.57 = 162,432.48/x
  3. Step 3: Cross multiply
    226,957.19x = 313,217.57 × 162,432.48
  4. Step 4: Simplify right side
    226,957.19x = 50,876,705,862.51
  5. Step 5: Solve for x
    x = 50,876,705,862.51/226,957.19
  6. Step 6: Final answer
    x = 224,168.74

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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.