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Finding the Fourth Proportional to 656,544.37, 984,902.67 and 257,133.24

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Solution

The fourth proportional to 656,544.37, 984,902.67 and 257,133.24 is: 385,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,544.37 : 984,902.67 = 257,133.24 : x
  2. Step 2: Convert to fraction form
    656,544.37/984,902.67 = 257,133.24/x
  3. Step 3: Cross multiply
    656,544.37x = 984,902.67 × 257,133.24
  4. Step 4: Simplify right side
    656,544.37x = 253,251,214,621.75
  5. Step 5: Solve for x
    x = 253,251,214,621.75/656,544.37
  6. Step 6: Final answer
    x = 385,733.59

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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.