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Finding the Fourth Proportional to 277,297.27, 415,946.04 and 77,647.12

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Solution

The fourth proportional to 277,297.27, 415,946.04 and 77,647.12 is: 116,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,297.27 : 415,946.04 = 77,647.12 : x
  2. Step 2: Convert to fraction form
    277,297.27/415,946.04 = 77,647.12/x
  3. Step 3: Cross multiply
    277,297.27x = 415,946.04 × 77,647.12
  4. Step 4: Simplify right side
    277,297.27x = 32,297,012,081.40
  5. Step 5: Solve for x
    x = 32,297,012,081.40/277,297.27
  6. Step 6: Final answer
    x = 116,470.72

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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.