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Finding the Fourth Proportional to 458,166.21, 632,304.12 and 254,255.82

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Solution

The fourth proportional to 458,166.21, 632,304.12 and 254,255.82 is: 350,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,166.21 : 632,304.12 = 254,255.82 : x
  2. Step 2: Convert to fraction form
    458,166.21/632,304.12 = 254,255.82/x
  3. Step 3: Cross multiply
    458,166.21x = 632,304.12 × 254,255.82
  4. Step 4: Simplify right side
    458,166.21x = 160,767,002,519.98
  5. Step 5: Solve for x
    x = 160,767,002,519.98/458,166.21
  6. Step 6: Final answer
    x = 350,892.32

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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.