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Finding the Fourth Proportional to 306,862.44, 460,343.24 and 90,743.10

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Solution

The fourth proportional to 306,862.44, 460,343.24 and 90,743.10 is: 136,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,862.44 : 460,343.24 = 90,743.10 : x
  2. Step 2: Convert to fraction form
    306,862.44/460,343.24 = 90,743.10/x
  3. Step 3: Cross multiply
    306,862.44x = 460,343.24 × 90,743.10
  4. Step 4: Simplify right side
    306,862.44x = 41,772,970,586.79
  5. Step 5: Solve for x
    x = 41,772,970,586.79/306,862.44
  6. Step 6: Final answer
    x = 136,129.31

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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.