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Finding the Fourth Proportional to 458,163.24, 632,255.64 and 254,209.77

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Solution

The fourth proportional to 458,163.24, 632,255.64 and 254,209.77 is: 350,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,163.24 : 632,255.64 = 254,209.77 : x
  2. Step 2: Convert to fraction form
    458,163.24/632,255.64 = 254,209.77/x
  3. Step 3: Cross multiply
    458,163.24x = 632,255.64 × 254,209.77
  4. Step 4: Simplify right side
    458,163.24x = 160,725,560,825.60
  5. Step 5: Solve for x
    x = 160,725,560,825.60/458,163.24
  6. Step 6: Final answer
    x = 350,804.14

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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.