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Finding the Fourth Proportional to 264,231, 396,387.77 and 86,697.63

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Solution

The fourth proportional to 264,231, 396,387.77 and 86,697.63 is: 130,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,231 : 396,387.77 = 86,697.63 : x
  2. Step 2: Convert to fraction form
    264,231/396,387.77 = 86,697.63/x
  3. Step 3: Cross multiply
    264,231x = 396,387.77 × 86,697.63
  4. Step 4: Simplify right side
    264,231x = 34,365,879,786.50
  5. Step 5: Solve for x
    x = 34,365,879,786.50/264,231
  6. Step 6: Final answer
    x = 130,059.98

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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.