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Finding the Fourth Proportional to 264,832.80, 397,253.52 and 65,153.76

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Solution

The fourth proportional to 264,832.80, 397,253.52 and 65,153.76 is: 97,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,832.80 : 397,253.52 = 65,153.76 : x
  2. Step 2: Convert to fraction form
    264,832.80/397,253.52 = 65,153.76/x
  3. Step 3: Cross multiply
    264,832.80x = 397,253.52 × 65,153.76
  4. Step 4: Simplify right side
    264,832.80x = 25,882,560,501.24
  5. Step 5: Solve for x
    x = 25,882,560,501.24/264,832.80
  6. Step 6: Final answer
    x = 97,731.70

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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.