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Finding the Fourth Proportional to 264,412.52, 396,534.54 and 86,878.34

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Solution

The fourth proportional to 264,412.52, 396,534.54 and 86,878.34 is: 130,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,412.52 : 396,534.54 = 86,878.34 : x
  2. Step 2: Convert to fraction form
    264,412.52/396,534.54 = 86,878.34/x
  3. Step 3: Cross multiply
    264,412.52x = 396,534.54 × 86,878.34
  4. Step 4: Simplify right side
    264,412.52x = 34,450,260,605.19
  5. Step 5: Solve for x
    x = 34,450,260,605.19/264,412.52
  6. Step 6: Final answer
    x = 130,289.83

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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.