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Finding the Fourth Proportional to 376,580.40, 564,692.40 and 218,857.20

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Solution

The fourth proportional to 376,580.40, 564,692.40 and 218,857.20 is: 328,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,580.40 : 564,692.40 = 218,857.20 : x
  2. Step 2: Convert to fraction form
    376,580.40/564,692.40 = 218,857.20/x
  3. Step 3: Cross multiply
    376,580.40x = 564,692.40 × 218,857.20
  4. Step 4: Simplify right side
    376,580.40x = 123,586,997,525.28
  5. Step 5: Solve for x
    x = 123,586,997,525.28/376,580.40
  6. Step 6: Final answer
    x = 328,182.24

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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.