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Finding the Fourth Proportional to 473,234.98, 653,078.56 and 269,315.15

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Solution

The fourth proportional to 473,234.98, 653,078.56 and 269,315.15 is: 371,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,234.98 : 653,078.56 = 269,315.15 : x
  2. Step 2: Convert to fraction form
    473,234.98/653,078.56 = 269,315.15/x
  3. Step 3: Cross multiply
    473,234.98x = 653,078.56 × 269,315.15
  4. Step 4: Simplify right side
    473,234.98x = 175,883,950,348.18
  5. Step 5: Solve for x
    x = 175,883,950,348.18/473,234.98
  6. Step 6: Final answer
    x = 371,663.04

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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.