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Finding the Fourth Proportional to 458,200.16, 632,285.84 and 254,238.16

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Solution

The fourth proportional to 458,200.16, 632,285.84 and 254,238.16 is: 350,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,200.16 : 632,285.84 = 254,238.16 : x
  2. Step 2: Convert to fraction form
    458,200.16/632,285.84 = 254,238.16/x
  3. Step 3: Cross multiply
    458,200.16x = 632,285.84 × 254,238.16
  4. Step 4: Simplify right side
    458,200.16x = 160,751,184,123.03
  5. Step 5: Solve for x
    x = 160,751,184,123.03/458,200.16
  6. Step 6: Final answer
    x = 350,831.79

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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.