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Finding the Fourth Proportional to 412,214.20, 618,321.30 and 202,262.20

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Solution

The fourth proportional to 412,214.20, 618,321.30 and 202,262.20 is: 303,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,214.20 : 618,321.30 = 202,262.20 : x
  2. Step 2: Convert to fraction form
    412,214.20/618,321.30 = 202,262.20/x
  3. Step 3: Cross multiply
    412,214.20x = 618,321.30 × 202,262.20
  4. Step 4: Simplify right side
    412,214.20x = 125,063,026,444.86
  5. Step 5: Solve for x
    x = 125,063,026,444.86/412,214.20
  6. Step 6: Final answer
    x = 303,393.30

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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.