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Finding the Fourth Proportional to 458,064.32, 632,129.50 and 254,115.24

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Solution

The fourth proportional to 458,064.32, 632,129.50 and 254,115.24 is: 350,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,064.32 : 632,129.50 = 254,115.24 : x
  2. Step 2: Convert to fraction form
    458,064.32/632,129.50 = 254,115.24/x
  3. Step 3: Cross multiply
    458,064.32x = 632,129.50 × 254,115.24
  4. Step 4: Simplify right side
    458,064.32x = 160,633,735,172.36
  5. Step 5: Solve for x
    x = 160,633,735,172.36/458,064.32
  6. Step 6: Final answer
    x = 350,679.43

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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.