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Finding the Fourth Proportional to 297,960.06, 410,782.42 and 202,300.70

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Solution

The fourth proportional to 297,960.06, 410,782.42 and 202,300.70 is: 278,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,960.06 : 410,782.42 = 202,300.70 : x
  2. Step 2: Convert to fraction form
    297,960.06/410,782.42 = 202,300.70/x
  3. Step 3: Cross multiply
    297,960.06x = 410,782.42 × 202,300.70
  4. Step 4: Simplify right side
    297,960.06x = 83,101,571,113.69
  5. Step 5: Solve for x
    x = 83,101,571,113.69/297,960.06
  6. Step 6: Final answer
    x = 278,901.71

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1.5x scale

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.