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Finding the Fourth Proportional to 342,455.40, 514,144.80 and 200,446.20

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Solution

The fourth proportional to 342,455.40, 514,144.80 and 200,446.20 is: 300,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,455.40 : 514,144.80 = 200,446.20 : x
  2. Step 2: Convert to fraction form
    342,455.40/514,144.80 = 200,446.20/x
  3. Step 3: Cross multiply
    342,455.40x = 514,144.80 × 200,446.20
  4. Step 4: Simplify right side
    342,455.40x = 103,058,371,409.76
  5. Step 5: Solve for x
    x = 103,058,371,409.76/342,455.40
  6. Step 6: Final answer
    x = 300,939.54

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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.