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Finding the Fourth Proportional to 412,822.20, 619,233.30 and 202,870.20

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Solution

The fourth proportional to 412,822.20, 619,233.30 and 202,870.20 is: 304,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,822.20 : 619,233.30 = 202,870.20 : x
  2. Step 2: Convert to fraction form
    412,822.20/619,233.30 = 202,870.20/x
  3. Step 3: Cross multiply
    412,822.20x = 619,233.30 × 202,870.20
  4. Step 4: Simplify right side
    412,822.20x = 125,623,983,417.66
  5. Step 5: Solve for x
    x = 125,623,983,417.66/412,822.20
  6. Step 6: Final answer
    x = 304,305.30

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