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Finding the Fourth Proportional to 424,257.52, 585,564.42 and 269,108.50

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Solution

The fourth proportional to 424,257.52, 585,564.42 and 269,108.50 is: 371,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,257.52 : 585,564.42 = 269,108.50 : x
  2. Step 2: Convert to fraction form
    424,257.52/585,564.42 = 269,108.50/x
  3. Step 3: Cross multiply
    424,257.52x = 585,564.42 × 269,108.50
  4. Step 4: Simplify right side
    424,257.52x = 157,580,362,719.57
  5. Step 5: Solve for x
    x = 157,580,362,719.57/424,257.52
  6. Step 6: Final answer
    x = 371,426.21

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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.