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Finding the Fourth Proportional to 397,620.46, 596,436.87 and 377,433.09

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Solution

The fourth proportional to 397,620.46, 596,436.87 and 377,433.09 is: 566,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,620.46 : 596,436.87 = 377,433.09 : x
  2. Step 2: Convert to fraction form
    397,620.46/596,436.87 = 377,433.09/x
  3. Step 3: Cross multiply
    397,620.46x = 596,436.87 × 377,433.09
  4. Step 4: Simplify right side
    397,620.46x = 225,115,010,834.03
  5. Step 5: Solve for x
    x = 225,115,010,834.03/397,620.46
  6. Step 6: Final answer
    x = 566,155.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.