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Finding the Fourth Proportional to 473,207.86, 653,002.30 and 269,254.66

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Solution

The fourth proportional to 473,207.86, 653,002.30 and 269,254.66 is: 371,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,207.86 : 653,002.30 = 269,254.66 : x
  2. Step 2: Convert to fraction form
    473,207.86/653,002.30 = 269,254.66/x
  3. Step 3: Cross multiply
    473,207.86x = 653,002.30 × 269,254.66
  4. Step 4: Simplify right side
    473,207.86x = 175,823,912,265.72
  5. Step 5: Solve for x
    x = 175,823,912,265.72/473,207.86
  6. Step 6: Final answer
    x = 371,557.46

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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.