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Finding the Fourth Proportional to 458,294.34, 632,158.51 and 271,893.83

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Solution

The fourth proportional to 458,294.34, 632,158.51 and 271,893.83 is: 375,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,294.34 : 632,158.51 = 271,893.83 : x
  2. Step 2: Convert to fraction form
    458,294.34/632,158.51 = 271,893.83/x
  3. Step 3: Cross multiply
    458,294.34x = 632,158.51 × 271,893.83
  4. Step 4: Simplify right side
    458,294.34x = 171,879,999,351.66
  5. Step 5: Solve for x
    x = 171,879,999,351.66/458,294.34
  6. Step 6: Final answer
    x = 375,042.81

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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.