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Finding the Fourth Proportional to 434,109, 654,121.39 and 356,951.56

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Solution

The fourth proportional to 434,109, 654,121.39 and 356,951.56 is: 537,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,109 : 654,121.39 = 356,951.56 : x
  2. Step 2: Convert to fraction form
    434,109/654,121.39 = 356,951.56/x
  3. Step 3: Cross multiply
    434,109x = 654,121.39 × 356,951.56
  4. Step 4: Simplify right side
    434,109x = 233,489,650,589.87
  5. Step 5: Solve for x
    x = 233,489,650,589.87/434,109
  6. Step 6: Final answer
    x = 537,859.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.