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Finding the Fourth Proportional to 409,620.80, 614,431.20 and 376,443.20

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Solution

The fourth proportional to 409,620.80, 614,431.20 and 376,443.20 is: 564,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,620.80 : 614,431.20 = 376,443.20 : x
  2. Step 2: Convert to fraction form
    409,620.80/614,431.20 = 376,443.20/x
  3. Step 3: Cross multiply
    409,620.80x = 614,431.20 × 376,443.20
  4. Step 4: Simplify right side
    409,620.80x = 231,298,447,107.84
  5. Step 5: Solve for x
    x = 231,298,447,107.84/409,620.80
  6. Step 6: Final answer
    x = 564,664.80

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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.