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Finding the Fourth Proportional to 409,850.37, 614,816.57 and 125,537.64

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Solution

The fourth proportional to 409,850.37, 614,816.57 and 125,537.64 is: 188,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,850.37 : 614,816.57 = 125,537.64 : x
  2. Step 2: Convert to fraction form
    409,850.37/614,816.57 = 125,537.64/x
  3. Step 3: Cross multiply
    409,850.37x = 614,816.57 × 125,537.64
  4. Step 4: Simplify right side
    409,850.37x = 77,182,621,230.69
  5. Step 5: Solve for x
    x = 77,182,621,230.69/409,850.37
  6. Step 6: Final answer
    x = 188,319.02

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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.