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Finding the Fourth Proportional to 458,618.23, 632,871.86 and 254,682.07

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Solution

The fourth proportional to 458,618.23, 632,871.86 and 254,682.07 is: 351,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,618.23 : 632,871.86 = 254,682.07 : x
  2. Step 2: Convert to fraction form
    458,618.23/632,871.86 = 254,682.07/x
  3. Step 3: Cross multiply
    458,618.23x = 632,871.86 × 254,682.07
  4. Step 4: Simplify right side
    458,618.23x = 161,181,116,770.16
  5. Step 5: Solve for x
    x = 161,181,116,770.16/458,618.23
  6. Step 6: Final answer
    x = 351,449.43

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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.