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Finding the Fourth Proportional to 277,580.40, 416,371.64 and 67,218.52

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Solution

The fourth proportional to 277,580.40, 416,371.64 and 67,218.52 is: 100,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,580.40 : 416,371.64 = 67,218.52 : x
  2. Step 2: Convert to fraction form
    277,580.40/416,371.64 = 67,218.52/x
  3. Step 3: Cross multiply
    277,580.40x = 416,371.64 × 67,218.52
  4. Step 4: Simplify right side
    277,580.40x = 27,987,885,410.77
  5. Step 5: Solve for x
    x = 27,987,885,410.77/277,580.40
  6. Step 6: Final answer
    x = 100,828.03

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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.