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Finding the Fourth Proportional to 377,076.48, 520,375.77 and 205,006.02

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Solution

The fourth proportional to 377,076.48, 520,375.77 and 205,006.02 is: 282,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,076.48 : 520,375.77 = 205,006.02 : x
  2. Step 2: Convert to fraction form
    377,076.48/520,375.77 = 205,006.02/x
  3. Step 3: Cross multiply
    377,076.48x = 520,375.77 × 205,006.02
  4. Step 4: Simplify right side
    377,076.48x = 106,680,165,512.14
  5. Step 5: Solve for x
    x = 106,680,165,512.14/377,076.48
  6. Step 6: Final answer
    x = 282,913.87

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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.