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Finding the Fourth Proportional to 312,164.51, 467,965.76 and 112,344.39

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Solution

The fourth proportional to 312,164.51, 467,965.76 and 112,344.39 is: 168,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,164.51 : 467,965.76 = 112,344.39 : x
  2. Step 2: Convert to fraction form
    312,164.51/467,965.76 = 112,344.39/x
  3. Step 3: Cross multiply
    312,164.51x = 467,965.76 × 112,344.39
  4. Step 4: Simplify right side
    312,164.51x = 52,573,327,286.36
  5. Step 5: Solve for x
    x = 52,573,327,286.36/312,164.51
  6. Step 6: Final answer
    x = 168,415.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.