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Finding the Fourth Proportional to 434,121.30, 650,793.15 and 284,433.30

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Solution

The fourth proportional to 434,121.30, 650,793.15 and 284,433.30 is: 426,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,121.30 : 650,793.15 = 284,433.30 : x
  2. Step 2: Convert to fraction form
    434,121.30/650,793.15 = 284,433.30/x
  3. Step 3: Cross multiply
    434,121.30x = 650,793.15 × 284,433.30
  4. Step 4: Simplify right side
    434,121.30x = 185,107,243,271.90
  5. Step 5: Solve for x
    x = 185,107,243,271.90/434,121.30
  6. Step 6: Final answer
    x = 426,395.21

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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.