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Finding the Fourth Proportional to 300,070.71, 413,902.44 and 192,470.31

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Solution

The fourth proportional to 300,070.71, 413,902.44 and 192,470.31 is: 265,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,070.71 : 413,902.44 = 192,470.31 : x
  2. Step 2: Convert to fraction form
    300,070.71/413,902.44 = 192,470.31/x
  3. Step 3: Cross multiply
    300,070.71x = 413,902.44 × 192,470.31
  4. Step 4: Simplify right side
    300,070.71x = 79,663,930,936.56
  5. Step 5: Solve for x
    x = 79,663,930,936.56/300,070.71
  6. Step 6: Final answer
    x = 265,483.86

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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.