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Finding the Fourth Proportional to 314,514.50, 434,016.99 and 171,274.22

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Solution

The fourth proportional to 314,514.50, 434,016.99 and 171,274.22 is: 236,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,514.50 : 434,016.99 = 171,274.22 : x
  2. Step 2: Convert to fraction form
    314,514.50/434,016.99 = 171,274.22/x
  3. Step 3: Cross multiply
    314,514.50x = 434,016.99 × 171,274.22
  4. Step 4: Simplify right side
    314,514.50x = 74,335,921,429.00
  5. Step 5: Solve for x
    x = 74,335,921,429.00/314,514.50
  6. Step 6: Final answer
    x = 236,351.33

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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.