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Finding the Fourth Proportional to 314,305.98, 433,742.27 and 171,067.07

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Solution

The fourth proportional to 314,305.98, 433,742.27 and 171,067.07 is: 236,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,305.98 : 433,742.27 = 171,067.07 : x
  2. Step 2: Convert to fraction form
    314,305.98/433,742.27 = 171,067.07/x
  3. Step 3: Cross multiply
    314,305.98x = 433,742.27 × 171,067.07
  4. Step 4: Simplify right side
    314,305.98x = 74,199,016,240.00
  5. Step 5: Solve for x
    x = 74,199,016,240.00/314,305.98
  6. Step 6: Final answer
    x = 236,072.56

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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.