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Finding the Fourth Proportional to 277,073.46, 415,508.13 and 99,532.80

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Solution

The fourth proportional to 277,073.46, 415,508.13 and 99,532.80 is: 149,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,073.46 : 415,508.13 = 99,532.80 : x
  2. Step 2: Convert to fraction form
    277,073.46/415,508.13 = 99,532.80/x
  3. Step 3: Cross multiply
    277,073.46x = 415,508.13 × 99,532.80
  4. Step 4: Simplify right side
    277,073.46x = 41,356,687,601.66
  5. Step 5: Solve for x
    x = 41,356,687,601.66/277,073.46
  6. Step 6: Final answer
    x = 149,262.54

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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.