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Finding the Fourth Proportional to 310,704.98, 465,055.08 and 160,738.76

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Solution

The fourth proportional to 310,704.98, 465,055.08 and 160,738.76 is: 240,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,704.98 : 465,055.08 = 160,738.76 : x
  2. Step 2: Convert to fraction form
    310,704.98/465,055.08 = 160,738.76/x
  3. Step 3: Cross multiply
    310,704.98x = 465,055.08 × 160,738.76
  4. Step 4: Simplify right side
    310,704.98x = 74,752,376,890.90
  5. Step 5: Solve for x
    x = 74,752,376,890.90/310,704.98
  6. Step 6: Final answer
    x = 240,589.57

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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.