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Finding the Fourth Proportional to 458,200.29, 632,286 and 254,238.28

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Solution

The fourth proportional to 458,200.29, 632,286 and 254,238.28 is: 350,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,200.29 : 632,286 = 254,238.28 : x
  2. Step 2: Convert to fraction form
    458,200.29/632,286 = 254,238.28/x
  3. Step 3: Cross multiply
    458,200.29x = 632,286 × 254,238.28
  4. Step 4: Simplify right side
    458,200.29x = 160,751,305,108.08
  5. Step 5: Solve for x
    x = 160,751,305,108.08/458,200.29
  6. Step 6: Final answer
    x = 350,831.96

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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.