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Finding the Fourth Proportional to 520,717, 781,153.26 and 188,370.76

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Solution

The fourth proportional to 520,717, 781,153.26 and 188,370.76 is: 282,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,717 : 781,153.26 = 188,370.76 : x
  2. Step 2: Convert to fraction form
    520,717/781,153.26 = 188,370.76/x
  3. Step 3: Cross multiply
    520,717x = 781,153.26 × 188,370.76
  4. Step 4: Simplify right side
    520,717x = 147,146,433,262.68
  5. Step 5: Solve for x
    x = 147,146,433,262.68/520,717
  6. Step 6: Final answer
    x = 282,584.27

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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.