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Finding the Fourth Proportional to 458,462.16, 632,680.20 and 254,516.04

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Solution

The fourth proportional to 458,462.16, 632,680.20 and 254,516.04 is: 351,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,462.16 : 632,680.20 = 254,516.04 : x
  2. Step 2: Convert to fraction form
    458,462.16/632,680.20 = 254,516.04/x
  3. Step 3: Cross multiply
    458,462.16x = 632,680.20 × 254,516.04
  4. Step 4: Simplify right side
    458,462.16x = 161,027,259,090.41
  5. Step 5: Solve for x
    x = 161,027,259,090.41/458,462.16
  6. Step 6: Final answer
    x = 351,233.48

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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.