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Finding the Fourth Proportional to 534,652.78, 737,792.61 and 305,200.94

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Solution

The fourth proportional to 534,652.78, 737,792.61 and 305,200.94 is: 421,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,652.78 : 737,792.61 = 305,200.94 : x
  2. Step 2: Convert to fraction form
    534,652.78/737,792.61 = 305,200.94/x
  3. Step 3: Cross multiply
    534,652.78x = 737,792.61 × 305,200.94
  4. Step 4: Simplify right side
    534,652.78x = 225,174,998,097.05
  5. Step 5: Solve for x
    x = 225,174,998,097.05/534,652.78
  6. Step 6: Final answer
    x = 421,161.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.