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Finding the Fourth Proportional to 517,796.92, 714,514.26 and 288,336.88

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Solution

The fourth proportional to 517,796.92, 714,514.26 and 288,336.88 is: 397,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,796.92 : 714,514.26 = 288,336.88 : x
  2. Step 2: Convert to fraction form
    517,796.92/714,514.26 = 288,336.88/x
  3. Step 3: Cross multiply
    517,796.92x = 714,514.26 × 288,336.88
  4. Step 4: Simplify right side
    517,796.92x = 206,020,812,443.91
  5. Step 5: Solve for x
    x = 206,020,812,443.91/517,796.92
  6. Step 6: Final answer
    x = 397,879.56

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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.