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Finding the Fourth Proportional to 559,705.97, 839,736.45 and 199,868.94

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Solution

The fourth proportional to 559,705.97, 839,736.45 and 199,868.94 is: 299,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,705.97 : 839,736.45 = 199,868.94 : x
  2. Step 2: Convert to fraction form
    559,705.97/839,736.45 = 199,868.94/x
  3. Step 3: Cross multiply
    559,705.97x = 839,736.45 × 199,868.94
  4. Step 4: Simplify right side
    559,705.97x = 167,837,234,140.86
  5. Step 5: Solve for x
    x = 167,837,234,140.86/559,705.97
  6. Step 6: Final answer
    x = 299,866.79

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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.