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Finding the Fourth Proportional to 412,000.20, 618,461.10 and 384,928.20

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Solution

The fourth proportional to 412,000.20, 618,461.10 and 384,928.20 is: 577,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,000.20 : 618,461.10 = 384,928.20 : x
  2. Step 2: Convert to fraction form
    412,000.20/618,461.10 = 384,928.20/x
  3. Step 3: Cross multiply
    412,000.20x = 618,461.10 × 384,928.20
  4. Step 4: Simplify right side
    412,000.20x = 238,063,117,993.02
  5. Step 5: Solve for x
    x = 238,063,117,993.02/412,000.20
  6. Step 6: Final answer
    x = 577,822.82

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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.