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Finding the Fourth Proportional to 424,145.68, 585,321.68 and 233,160.24

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Solution

The fourth proportional to 424,145.68, 585,321.68 and 233,160.24 is: 321,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,145.68 : 585,321.68 = 233,160.24 : x
  2. Step 2: Convert to fraction form
    424,145.68/585,321.68 = 233,160.24/x
  3. Step 3: Cross multiply
    424,145.68x = 585,321.68 × 233,160.24
  4. Step 4: Simplify right side
    424,145.68x = 136,473,743,386.00
  5. Step 5: Solve for x
    x = 136,473,743,386.00/424,145.68
  6. Step 6: Final answer
    x = 321,761.48

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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.