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Finding the Fourth Proportional to 312,404.87, 431,118.09 and 169,164.47

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Solution

The fourth proportional to 312,404.87, 431,118.09 and 169,164.47 is: 233,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,404.87 : 431,118.09 = 169,164.47 : x
  2. Step 2: Convert to fraction form
    312,404.87/431,118.09 = 169,164.47/x
  3. Step 3: Cross multiply
    312,404.87x = 431,118.09 × 169,164.47
  4. Step 4: Simplify right side
    312,404.87x = 72,929,863,202.26
  5. Step 5: Solve for x
    x = 72,929,863,202.26/312,404.87
  6. Step 6: Final answer
    x = 233,446.63

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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.