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Finding the Fourth Proportional to 534,348.48, 800,969.76 and 253,652.16

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Solution

The fourth proportional to 534,348.48, 800,969.76 and 253,652.16 is: 380,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,348.48 : 800,969.76 = 253,652.16 : x
  2. Step 2: Convert to fraction form
    534,348.48/800,969.76 = 253,652.16/x
  3. Step 3: Cross multiply
    534,348.48x = 800,969.76 × 253,652.16
  4. Step 4: Simplify right side
    534,348.48x = 203,167,709,718.68
  5. Step 5: Solve for x
    x = 203,167,709,718.68/534,348.48
  6. Step 6: Final answer
    x = 380,215.75

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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.