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Finding the Fourth Proportional to 264,356.48, 396,597.12 and 86,864

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Solution

The fourth proportional to 264,356.48, 396,597.12 and 86,864 is: 130,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,356.48 : 396,597.12 = 86,864 : x
  2. Step 2: Convert to fraction form
    264,356.48/396,597.12 = 86,864/x
  3. Step 3: Cross multiply
    264,356.48x = 396,597.12 × 86,864
  4. Step 4: Simplify right side
    264,356.48x = 34,450,012,231.68
  5. Step 5: Solve for x
    x = 34,450,012,231.68/264,356.48
  6. Step 6: Final answer
    x = 130,316.50

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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.