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Finding the Fourth Proportional to 264,426.32, 396,683.64 and 86,894.48

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Solution

The fourth proportional to 264,426.32, 396,683.64 and 86,894.48 is: 130,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,426.32 : 396,683.64 = 86,894.48 : x
  2. Step 2: Convert to fraction form
    264,426.32/396,683.64 = 86,894.48/x
  3. Step 3: Cross multiply
    264,426.32x = 396,683.64 × 86,894.48
  4. Step 4: Simplify right side
    264,426.32x = 34,469,618,622.31
  5. Step 5: Solve for x
    x = 34,469,618,622.31/264,426.32
  6. Step 6: Final answer
    x = 130,356.23

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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.