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Finding the Fourth Proportional to 299,999.11, 414,036.86 and 170,983.96

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Solution

The fourth proportional to 299,999.11, 414,036.86 and 170,983.96 is: 235,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,999.11 : 414,036.86 = 170,983.96 : x
  2. Step 2: Convert to fraction form
    299,999.11/414,036.86 = 170,983.96/x
  3. Step 3: Cross multiply
    299,999.11x = 414,036.86 × 170,983.96
  4. Step 4: Simplify right side
    299,999.11x = 70,793,661,908.77
  5. Step 5: Solve for x
    x = 70,793,661,908.77/299,999.11
  6. Step 6: Final answer
    x = 235,979.57

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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.