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Finding the Fourth Proportional to 311,296.40, 466,944.60 and 86,656.40

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Solution

The fourth proportional to 311,296.40, 466,944.60 and 86,656.40 is: 129,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,296.40 : 466,944.60 = 86,656.40 : x
  2. Step 2: Convert to fraction form
    311,296.40/466,944.60 = 86,656.40/x
  3. Step 3: Cross multiply
    311,296.40x = 466,944.60 × 86,656.40
  4. Step 4: Simplify right side
    311,296.40x = 40,463,738,035.44
  5. Step 5: Solve for x
    x = 40,463,738,035.44/311,296.40
  6. Step 6: Final answer
    x = 129,984.60

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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.