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Finding the Fourth Proportional to 424,366.63, 585,614.26 and 233,380

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Solution

The fourth proportional to 424,366.63, 585,614.26 and 233,380 is: 322,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,366.63 : 585,614.26 = 233,380 : x
  2. Step 2: Convert to fraction form
    424,366.63/585,614.26 = 233,380/x
  3. Step 3: Cross multiply
    424,366.63x = 585,614.26 × 233,380
  4. Step 4: Simplify right side
    424,366.63x = 136,670,655,998.80
  5. Step 5: Solve for x
    x = 136,670,655,998.80/424,366.63
  6. Step 6: Final answer
    x = 322,057.97

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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.