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Finding the Fourth Proportional to 482,861.80, 724,379.10 and 202,407.40

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Solution

The fourth proportional to 482,861.80, 724,379.10 and 202,407.40 is: 303,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,861.80 : 724,379.10 = 202,407.40 : x
  2. Step 2: Convert to fraction form
    482,861.80/724,379.10 = 202,407.40/x
  3. Step 3: Cross multiply
    482,861.80x = 724,379.10 × 202,407.40
  4. Step 4: Simplify right side
    482,861.80x = 146,619,690,245.34
  5. Step 5: Solve for x
    x = 146,619,690,245.34/482,861.80
  6. Step 6: Final answer
    x = 303,647.32

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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.