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Finding the Fourth Proportional to 264,608.56, 396,829.14 and 87,076

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Solution

The fourth proportional to 264,608.56, 396,829.14 and 87,076 is: 130,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,608.56 : 396,829.14 = 87,076 : x
  2. Step 2: Convert to fraction form
    264,608.56/396,829.14 = 87,076/x
  3. Step 3: Cross multiply
    264,608.56x = 396,829.14 × 87,076
  4. Step 4: Simplify right side
    264,608.56x = 34,554,294,194.64
  5. Step 5: Solve for x
    x = 34,554,294,194.64/264,608.56
  6. Step 6: Final answer
    x = 130,586.46

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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.