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Finding the Fourth Proportional to 277,298.27, 415,947.54 and 77,648.12

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Solution

The fourth proportional to 277,298.27, 415,947.54 and 77,648.12 is: 116,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,298.27 : 415,947.54 = 77,648.12 : x
  2. Step 2: Convert to fraction form
    277,298.27/415,947.54 = 77,648.12/x
  3. Step 3: Cross multiply
    277,298.27x = 415,947.54 × 77,648.12
  4. Step 4: Simplify right side
    277,298.27x = 32,297,544,499.62
  5. Step 5: Solve for x
    x = 32,297,544,499.62/277,298.27
  6. Step 6: Final answer
    x = 116,472.22

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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.