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Finding the Fourth Proportional to 424,138.49, 585,313 and 233,164.18

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Solution

The fourth proportional to 424,138.49, 585,313 and 233,164.18 is: 321,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,138.49 : 585,313 = 233,164.18 : x
  2. Step 2: Convert to fraction form
    424,138.49/585,313 = 233,164.18/x
  3. Step 3: Cross multiply
    424,138.49x = 585,313 × 233,164.18
  4. Step 4: Simplify right side
    424,138.49x = 136,474,022,761.78
  5. Step 5: Solve for x
    x = 136,474,022,761.78/424,138.49
  6. Step 6: Final answer
    x = 321,767.60

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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.