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Finding the Fourth Proportional to 275,349.90, 413,024.88 and 97,863.92

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Solution

The fourth proportional to 275,349.90, 413,024.88 and 97,863.92 is: 146,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,349.90 : 413,024.88 = 97,863.92 : x
  2. Step 2: Convert to fraction form
    275,349.90/413,024.88 = 97,863.92/x
  3. Step 3: Cross multiply
    275,349.90x = 413,024.88 × 97,863.92
  4. Step 4: Simplify right side
    275,349.90x = 40,420,233,814.33
  5. Step 5: Solve for x
    x = 40,420,233,814.33/275,349.90
  6. Step 6: Final answer
    x = 146,795.89

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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.