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Finding the Fourth Proportional to 458,153.86, 632,286.96 and 254,243.38

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Solution

The fourth proportional to 458,153.86, 632,286.96 and 254,243.38 is: 350,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,153.86 : 632,286.96 = 254,243.38 : x
  2. Step 2: Convert to fraction form
    458,153.86/632,286.96 = 254,243.38/x
  3. Step 3: Cross multiply
    458,153.86x = 632,286.96 × 254,243.38
  4. Step 4: Simplify right side
    458,153.86x = 160,754,773,840.33
  5. Step 5: Solve for x
    x = 160,754,773,840.33/458,153.86
  6. Step 6: Final answer
    x = 350,875.08

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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.