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Finding the Fourth Proportional to 424,138.68, 585,319.37 and 233,152.02

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Solution

The fourth proportional to 424,138.68, 585,319.37 and 233,152.02 is: 321,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,138.68 : 585,319.37 = 233,152.02 : x
  2. Step 2: Convert to fraction form
    424,138.68/585,319.37 = 233,152.02/x
  3. Step 3: Cross multiply
    424,138.68x = 585,319.37 × 233,152.02
  4. Step 4: Simplify right side
    424,138.68x = 136,468,392,294.87
  5. Step 5: Solve for x
    x = 136,468,392,294.87/424,138.68
  6. Step 6: Final answer
    x = 321,754.18

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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.