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Finding the Fourth Proportional to 458,112.89, 632,174.45 and 254,161.64

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Solution

The fourth proportional to 458,112.89, 632,174.45 and 254,161.64 is: 350,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,112.89 : 632,174.45 = 254,161.64 : x
  2. Step 2: Convert to fraction form
    458,112.89/632,174.45 = 254,161.64/x
  3. Step 3: Cross multiply
    458,112.89x = 632,174.45 × 254,161.64
  4. Step 4: Simplify right side
    458,112.89x = 160,674,490,546.42
  5. Step 5: Solve for x
    x = 160,674,490,546.42/458,112.89
  6. Step 6: Final answer
    x = 350,731.22

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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.