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Finding the Fourth Proportional to 376,570.40, 564,677.40 and 218,847.20

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Solution

The fourth proportional to 376,570.40, 564,677.40 and 218,847.20 is: 328,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,570.40 : 564,677.40 = 218,847.20 : x
  2. Step 2: Convert to fraction form
    376,570.40/564,677.40 = 218,847.20/x
  3. Step 3: Cross multiply
    376,570.40x = 564,677.40 × 218,847.20
  4. Step 4: Simplify right side
    376,570.40x = 123,578,067,893.28
  5. Step 5: Solve for x
    x = 123,578,067,893.28/376,570.40
  6. Step 6: Final answer
    x = 328,167.24

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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.