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Finding the Fourth Proportional to 598,902.84, 825,501 and 424,531.44

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Solution

The fourth proportional to 598,902.84, 825,501 and 424,531.44 is: 585,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,902.84 : 825,501 = 424,531.44 : x
  2. Step 2: Convert to fraction form
    598,902.84/825,501 = 424,531.44/x
  3. Step 3: Cross multiply
    598,902.84x = 825,501 × 424,531.44
  4. Step 4: Simplify right side
    598,902.84x = 350,451,128,251.44
  5. Step 5: Solve for x
    x = 350,451,128,251.44/598,902.84
  6. Step 6: Final answer
    x = 585,155.23

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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.