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Finding the Fourth Proportional to 458,098.95, 632,252.44 and 254,215.36

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Solution

The fourth proportional to 458,098.95, 632,252.44 and 254,215.36 is: 350,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,098.95 : 632,252.44 = 254,215.36 : x
  2. Step 2: Convert to fraction form
    458,098.95/632,252.44 = 254,215.36/x
  3. Step 3: Cross multiply
    458,098.95x = 632,252.44 × 254,215.36
  4. Step 4: Simplify right side
    458,098.95x = 160,728,282,753.56
  5. Step 5: Solve for x
    x = 160,728,282,753.56/458,098.95
  6. Step 6: Final answer
    x = 350,859.31

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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.