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Finding the Fourth Proportional to 317,005.88, 437,512.86 and 196,186.07

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Solution

The fourth proportional to 317,005.88, 437,512.86 and 196,186.07 is: 270,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,005.88 : 437,512.86 = 196,186.07 : x
  2. Step 2: Convert to fraction form
    317,005.88/437,512.86 = 196,186.07/x
  3. Step 3: Cross multiply
    317,005.88x = 437,512.86 × 196,186.07
  4. Step 4: Simplify right side
    317,005.88x = 85,833,929,671.64
  5. Step 5: Solve for x
    x = 85,833,929,671.64/317,005.88
  6. Step 6: Final answer
    x = 270,764.48

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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.