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Finding the Fourth Proportional to 412,264.20, 618,396.30 and 202,312.20

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Solution

The fourth proportional to 412,264.20, 618,396.30 and 202,312.20 is: 303,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,264.20 : 618,396.30 = 202,312.20 : x
  2. Step 2: Convert to fraction form
    412,264.20/618,396.30 = 202,312.20/x
  3. Step 3: Cross multiply
    412,264.20x = 618,396.30 × 202,312.20
  4. Step 4: Simplify right side
    412,264.20x = 125,109,115,924.86
  5. Step 5: Solve for x
    x = 125,109,115,924.86/412,264.20
  6. Step 6: Final answer
    x = 303,468.30

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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.