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Finding the Fourth Proportional to 613,106.76, 919,699.02 and 192,399.24

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Solution

The fourth proportional to 613,106.76, 919,699.02 and 192,399.24 is: 288,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,106.76 : 919,699.02 = 192,399.24 : x
  2. Step 2: Convert to fraction form
    613,106.76/919,699.02 = 192,399.24/x
  3. Step 3: Cross multiply
    613,106.76x = 919,699.02 × 192,399.24
  4. Step 4: Simplify right side
    613,106.76x = 176,949,392,476.75
  5. Step 5: Solve for x
    x = 176,949,392,476.75/613,106.76
  6. Step 6: Final answer
    x = 288,611.06

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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.