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Finding the Fourth Proportional to 297,726.50, 446,589.06 and 129,224.99

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Solution

The fourth proportional to 297,726.50, 446,589.06 and 129,224.99 is: 193,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,726.50 : 446,589.06 = 129,224.99 : x
  2. Step 2: Convert to fraction form
    297,726.50/446,589.06 = 129,224.99/x
  3. Step 3: Cross multiply
    297,726.50x = 446,589.06 × 129,224.99
  4. Step 4: Simplify right side
    297,726.50x = 57,710,466,812.61
  5. Step 5: Solve for x
    x = 57,710,466,812.61/297,726.50
  6. Step 6: Final answer
    x = 193,837.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.