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Finding the Fourth Proportional to 482,756.30, 724,004.85 and 202,301.90

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Solution

The fourth proportional to 482,756.30, 724,004.85 and 202,301.90 is: 303,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,756.30 : 724,004.85 = 202,301.90 : x
  2. Step 2: Convert to fraction form
    482,756.30/724,004.85 = 202,301.90/x
  3. Step 3: Cross multiply
    482,756.30x = 724,004.85 × 202,301.90
  4. Step 4: Simplify right side
    482,756.30x = 146,467,556,764.22
  5. Step 5: Solve for x
    x = 146,467,556,764.22/482,756.30
  6. Step 6: Final answer
    x = 303,398.54

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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.