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Finding the Fourth Proportional to 458,165.21, 632,302.74 and 254,254.82

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Solution

The fourth proportional to 458,165.21, 632,302.74 and 254,254.82 is: 350,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,165.21 : 632,302.74 = 254,254.82 : x
  2. Step 2: Convert to fraction form
    458,165.21/632,302.74 = 254,254.82/x
  3. Step 3: Cross multiply
    458,165.21x = 632,302.74 × 254,254.82
  4. Step 4: Simplify right side
    458,165.21x = 160,766,016,182.69
  5. Step 5: Solve for x
    x = 160,766,016,182.69/458,165.21
  6. Step 6: Final answer
    x = 350,890.93

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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.