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Finding the Fourth Proportional to 419,974.38, 579,552.03 and 228,991.50

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Solution

The fourth proportional to 419,974.38, 579,552.03 and 228,991.50 is: 316,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,974.38 : 579,552.03 = 228,991.50 : x
  2. Step 2: Convert to fraction form
    419,974.38/579,552.03 = 228,991.50/x
  3. Step 3: Cross multiply
    419,974.38x = 579,552.03 × 228,991.50
  4. Step 4: Simplify right side
    419,974.38x = 132,712,488,677.75
  5. Step 5: Solve for x
    x = 132,712,488,677.75/419,974.38
  6. Step 6: Final answer
    x = 316,001.39

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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.