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Finding the Fourth Proportional to 259,836, 389,747.28 and 70,314.72

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Solution

The fourth proportional to 259,836, 389,747.28 and 70,314.72 is: 105,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,836 : 389,747.28 = 70,314.72 : x
  2. Step 2: Convert to fraction form
    259,836/389,747.28 = 70,314.72/x
  3. Step 3: Cross multiply
    259,836x = 389,747.28 × 70,314.72
  4. Step 4: Simplify right side
    259,836x = 27,404,970,863.96
  5. Step 5: Solve for x
    x = 27,404,970,863.96/259,836
  6. Step 6: Final answer
    x = 105,470.26

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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.