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Finding the Fourth Proportional to 508,249.94, 701,312.40 and 304,252.07

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Solution

The fourth proportional to 508,249.94, 701,312.40 and 304,252.07 is: 419,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,249.94 : 701,312.40 = 304,252.07 : x
  2. Step 2: Convert to fraction form
    508,249.94/701,312.40 = 304,252.07/x
  3. Step 3: Cross multiply
    508,249.94x = 701,312.40 × 304,252.07
  4. Step 4: Simplify right side
    508,249.94x = 213,375,745,910.11
  5. Step 5: Solve for x
    x = 213,375,745,910.11/508,249.94
  6. Step 6: Final answer
    x = 419,824.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.