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Finding the Fourth Proportional to 492,052.80, 737,978.40 and 136,977.60

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Solution

The fourth proportional to 492,052.80, 737,978.40 and 136,977.60 is: 205,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,052.80 : 737,978.40 = 136,977.60 : x
  2. Step 2: Convert to fraction form
    492,052.80/737,978.40 = 136,977.60/x
  3. Step 3: Cross multiply
    492,052.80x = 737,978.40 × 136,977.60
  4. Step 4: Simplify right side
    492,052.80x = 101,086,510,083.84
  5. Step 5: Solve for x
    x = 101,086,510,083.84/492,052.80
  6. Step 6: Final answer
    x = 205,438.34

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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.