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Finding the Fourth Proportional to 473,204.86, 652,998.16 and 269,251.66

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Solution

The fourth proportional to 473,204.86, 652,998.16 and 269,251.66 is: 371,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,204.86 : 652,998.16 = 269,251.66 : x
  2. Step 2: Convert to fraction form
    473,204.86/652,998.16 = 269,251.66/x
  3. Step 3: Cross multiply
    473,204.86x = 652,998.16 × 269,251.66
  4. Step 4: Simplify right side
    473,204.86x = 175,820,838,556.95
  5. Step 5: Solve for x
    x = 175,820,838,556.95/473,204.86
  6. Step 6: Final answer
    x = 371,553.32

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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.