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Finding the Fourth Proportional to 264,844.56, 397,266.68 and 77,856.08

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Solution

The fourth proportional to 264,844.56, 397,266.68 and 77,856.08 is: 116,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,844.56 : 397,266.68 = 77,856.08 : x
  2. Step 2: Convert to fraction form
    264,844.56/397,266.68 = 77,856.08/x
  3. Step 3: Cross multiply
    264,844.56x = 397,266.68 × 77,856.08
  4. Step 4: Simplify right side
    264,844.56x = 30,929,626,419.41
  5. Step 5: Solve for x
    x = 30,929,626,419.41/264,844.56
  6. Step 6: Final answer
    x = 116,784.07

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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.