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Finding the Fourth Proportional to 306,625.13, 460,014.24 and 106,948.38

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Solution

The fourth proportional to 306,625.13, 460,014.24 and 106,948.38 is: 160,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,625.13 : 460,014.24 = 106,948.38 : x
  2. Step 2: Convert to fraction form
    306,625.13/460,014.24 = 106,948.38/x
  3. Step 3: Cross multiply
    306,625.13x = 460,014.24 × 106,948.38
  4. Step 4: Simplify right side
    306,625.13x = 49,197,777,744.93
  5. Step 5: Solve for x
    x = 49,197,777,744.93/306,625.13
  6. Step 6: Final answer
    x = 160,449.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.