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Finding the Fourth Proportional to 613,041.83, 919,695.09 and 186,611

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Solution

The fourth proportional to 613,041.83, 919,695.09 and 186,611 is: 279,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,041.83 : 919,695.09 = 186,611 : x
  2. Step 2: Convert to fraction form
    613,041.83/919,695.09 = 186,611/x
  3. Step 3: Cross multiply
    613,041.83x = 919,695.09 × 186,611
  4. Step 4: Simplify right side
    613,041.83x = 171,625,220,439.99
  5. Step 5: Solve for x
    x = 171,625,220,439.99/613,041.83
  6. Step 6: Final answer
    x = 279,956.79

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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.