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Finding the Fourth Proportional to 424,147.68, 585,324.44 and 233,162.24

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Solution

The fourth proportional to 424,147.68, 585,324.44 and 233,162.24 is: 321,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,147.68 : 585,324.44 = 233,162.24 : x
  2. Step 2: Convert to fraction form
    424,147.68/585,324.44 = 233,162.24/x
  3. Step 3: Cross multiply
    424,147.68x = 585,324.44 × 233,162.24
  4. Step 4: Simplify right side
    424,147.68x = 136,475,557,557.15
  5. Step 5: Solve for x
    x = 136,475,557,557.15/424,147.68
  6. Step 6: Final answer
    x = 321,764.24

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1.5x scale

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.