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Finding the Fourth Proportional to 257,968.86, 356,130.63 and 200,479.74

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Solution

The fourth proportional to 257,968.86, 356,130.63 and 200,479.74 is: 276,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,968.86 : 356,130.63 = 200,479.74 : x
  2. Step 2: Convert to fraction form
    257,968.86/356,130.63 = 200,479.74/x
  3. Step 3: Cross multiply
    257,968.86x = 356,130.63 × 200,479.74
  4. Step 4: Simplify right side
    257,968.86x = 71,396,976,108.44
  5. Step 5: Solve for x
    x = 71,396,976,108.44/257,968.86
  6. Step 6: Final answer
    x = 276,765.87

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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.