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Finding the Fourth Proportional to 377,122.44, 520,437.80 and 205,050.20

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Solution

The fourth proportional to 377,122.44, 520,437.80 and 205,050.20 is: 282,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,122.44 : 520,437.80 = 205,050.20 : x
  2. Step 2: Convert to fraction form
    377,122.44/520,437.80 = 205,050.20/x
  3. Step 3: Cross multiply
    377,122.44x = 520,437.80 × 205,050.20
  4. Step 4: Simplify right side
    377,122.44x = 106,715,874,977.56
  5. Step 5: Solve for x
    x = 106,715,874,977.56/377,122.44
  6. Step 6: Final answer
    x = 282,974.08

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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.