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Finding the Fourth Proportional to 458,202.64, 632,268.84 and 254,246.80

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Solution

The fourth proportional to 458,202.64, 632,268.84 and 254,246.80 is: 350,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,202.64 : 632,268.84 = 254,246.80 : x
  2. Step 2: Convert to fraction form
    458,202.64/632,268.84 = 254,246.80/x
  3. Step 3: Cross multiply
    458,202.64x = 632,268.84 × 254,246.80
  4. Step 4: Simplify right side
    458,202.64x = 160,752,329,309.71
  5. Step 5: Solve for x
    x = 160,752,329,309.71/458,202.64
  6. Step 6: Final answer
    x = 350,832.39

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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.