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Finding the Fourth Proportional to 656,437.14, 984,760.78 and 277,361.54

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Solution

The fourth proportional to 656,437.14, 984,760.78 and 277,361.54 is: 416,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,437.14 : 984,760.78 = 277,361.54 : x
  2. Step 2: Convert to fraction form
    656,437.14/984,760.78 = 277,361.54/x
  3. Step 3: Cross multiply
    656,437.14x = 984,760.78 × 277,361.54
  4. Step 4: Simplify right side
    656,437.14x = 273,134,763,317.10
  5. Step 5: Solve for x
    x = 273,134,763,317.10/656,437.14
  6. Step 6: Final answer
    x = 416,086.70

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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.