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Finding the Fourth Proportional to 298,371.78, 411,761.94 and 183,716.58

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Solution

The fourth proportional to 298,371.78, 411,761.94 and 183,716.58 is: 253,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,371.78 : 411,761.94 = 183,716.58 : x
  2. Step 2: Convert to fraction form
    298,371.78/411,761.94 = 183,716.58/x
  3. Step 3: Cross multiply
    298,371.78x = 411,761.94 × 183,716.58
  4. Step 4: Simplify right side
    298,371.78x = 75,647,496,762.84
  5. Step 5: Solve for x
    x = 75,647,496,762.84/298,371.78
  6. Step 6: Final answer
    x = 253,534.35

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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.