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Finding the Fourth Proportional to 310,891.26, 429,081.40 and 196,232.32

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Solution

The fourth proportional to 310,891.26, 429,081.40 and 196,232.32 is: 270,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,891.26 : 429,081.40 = 196,232.32 : x
  2. Step 2: Convert to fraction form
    310,891.26/429,081.40 = 196,232.32/x
  3. Step 3: Cross multiply
    310,891.26x = 429,081.40 × 196,232.32
  4. Step 4: Simplify right side
    310,891.26x = 84,199,638,590.85
  5. Step 5: Solve for x
    x = 84,199,638,590.85/310,891.26
  6. Step 6: Final answer
    x = 270,833.08

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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.