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Finding the Fourth Proportional to 277,074.58, 414,862.28 and 143,674.41

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Solution

The fourth proportional to 277,074.58, 414,862.28 and 143,674.41 is: 215,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,074.58 : 414,862.28 = 143,674.41 : x
  2. Step 2: Convert to fraction form
    277,074.58/414,862.28 = 143,674.41/x
  3. Step 3: Cross multiply
    277,074.58x = 414,862.28 × 143,674.41
  4. Step 4: Simplify right side
    277,074.58x = 59,605,093,130.66
  5. Step 5: Solve for x
    x = 59,605,093,130.66/277,074.58
  6. Step 6: Final answer
    x = 215,122.92

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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.