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Finding the Fourth Proportional to 312,435.09, 431,160.84 and 169,195.37

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Solution

The fourth proportional to 312,435.09, 431,160.84 and 169,195.37 is: 233,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,435.09 : 431,160.84 = 169,195.37 : x
  2. Step 2: Convert to fraction form
    312,435.09/431,160.84 = 169,195.37/x
  3. Step 3: Cross multiply
    312,435.09x = 431,160.84 × 169,195.37
  4. Step 4: Simplify right side
    312,435.09x = 72,950,415,697.51
  5. Step 5: Solve for x
    x = 72,950,415,697.51/312,435.09
  6. Step 6: Final answer
    x = 233,489.83

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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.