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Finding the Fourth Proportional to 435,941.40, 654,020.10 and 199,234.20

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Solution

The fourth proportional to 435,941.40, 654,020.10 and 199,234.20 is: 298,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,941.40 : 654,020.10 = 199,234.20 : x
  2. Step 2: Convert to fraction form
    435,941.40/654,020.10 = 199,234.20/x
  3. Step 3: Cross multiply
    435,941.40x = 654,020.10 × 199,234.20
  4. Step 4: Simplify right side
    435,941.40x = 130,303,171,407.42
  5. Step 5: Solve for x
    x = 130,303,171,407.42/435,941.40
  6. Step 6: Final answer
    x = 298,900.66

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Why These Related Problems?

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