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Finding the Fourth Proportional to 277,569, 416,365.02 and 80,577

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Solution

The fourth proportional to 277,569, 416,365.02 and 80,577 is: 120,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,569 : 416,365.02 = 80,577 : x
  2. Step 2: Convert to fraction form
    277,569/416,365.02 = 80,577/x
  3. Step 3: Cross multiply
    277,569x = 416,365.02 × 80,577
  4. Step 4: Simplify right side
    277,569x = 33,549,444,216.54
  5. Step 5: Solve for x
    x = 33,549,444,216.54/277,569
  6. Step 6: Final answer
    x = 120,868.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.