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Finding the Fourth Proportional to 266,415.53, 399,278.81 and 199,329.30

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Solution

The fourth proportional to 266,415.53, 399,278.81 and 199,329.30 is: 298,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,415.53 : 399,278.81 = 199,329.30 : x
  2. Step 2: Convert to fraction form
    266,415.53/399,278.81 = 199,329.30/x
  3. Step 3: Cross multiply
    266,415.53x = 399,278.81 × 199,329.30
  4. Step 4: Simplify right side
    266,415.53x = 79,587,966,200.46
  5. Step 5: Solve for x
    x = 79,587,966,200.46/266,415.53
  6. Step 6: Final answer
    x = 298,736.22

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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.