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Finding the Fourth Proportional to 264,396.84, 396,536.94 and 77,422.92

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Solution

The fourth proportional to 264,396.84, 396,536.94 and 77,422.92 is: 116,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,396.84 : 396,536.94 = 77,422.92 : x
  2. Step 2: Convert to fraction form
    264,396.84/396,536.94 = 77,422.92/x
  3. Step 3: Cross multiply
    264,396.84x = 396,536.94 × 77,422.92
  4. Step 4: Simplify right side
    264,396.84x = 30,701,047,782.66
  5. Step 5: Solve for x
    x = 30,701,047,782.66/264,396.84
  6. Step 6: Final answer
    x = 116,117.30

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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.