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Finding the Fourth Proportional to 264,799.56, 397,195.80 and 65,121.64

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Solution

The fourth proportional to 264,799.56, 397,195.80 and 65,121.64 is: 97,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,799.56 : 397,195.80 = 65,121.64 : x
  2. Step 2: Convert to fraction form
    264,799.56/397,195.80 = 65,121.64/x
  3. Step 3: Cross multiply
    264,799.56x = 397,195.80 × 65,121.64
  4. Step 4: Simplify right side
    264,799.56x = 25,866,041,897.11
  5. Step 5: Solve for x
    x = 25,866,041,897.11/264,799.56
  6. Step 6: Final answer
    x = 97,681.59

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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.