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Finding the Fourth Proportional to 275,087.12, 412,494.48 and 97,567.52

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Solution

The fourth proportional to 275,087.12, 412,494.48 and 97,567.52 is: 146,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,087.12 : 412,494.48 = 97,567.52 : x
  2. Step 2: Convert to fraction form
    275,087.12/412,494.48 = 97,567.52/x
  3. Step 3: Cross multiply
    275,087.12x = 412,494.48 × 97,567.52
  4. Step 4: Simplify right side
    275,087.12x = 40,246,063,427.29
  5. Step 5: Solve for x
    x = 40,246,063,427.29/275,087.12
  6. Step 6: Final answer
    x = 146,302.97

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1.5x scale

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.