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Finding the Fourth Proportional to 277,262.44, 415,829.72 and 77,596.92

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Solution

The fourth proportional to 277,262.44, 415,829.72 and 77,596.92 is: 116,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,262.44 : 415,829.72 = 77,596.92 : x
  2. Step 2: Convert to fraction form
    277,262.44/415,829.72 = 77,596.92/x
  3. Step 3: Cross multiply
    277,262.44x = 415,829.72 × 77,596.92
  4. Step 4: Simplify right side
    277,262.44x = 32,267,105,516.46
  5. Step 5: Solve for x
    x = 32,267,105,516.46/277,262.44
  6. Step 6: Final answer
    x = 116,377.49

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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.