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Finding the Fourth Proportional to 334,950.66, 501,267.49 and 206,814.33

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Solution

The fourth proportional to 334,950.66, 501,267.49 and 206,814.33 is: 309,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,950.66 : 501,267.49 = 206,814.33 : x
  2. Step 2: Convert to fraction form
    334,950.66/501,267.49 = 206,814.33/x
  3. Step 3: Cross multiply
    334,950.66x = 501,267.49 × 206,814.33
  4. Step 4: Simplify right side
    334,950.66x = 103,669,299,578.10
  5. Step 5: Solve for x
    x = 103,669,299,578.10/334,950.66
  6. Step 6: Final answer
    x = 309,506.18

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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.