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Finding the Fourth Proportional to 517,212.06, 713,668.52 and 287,763.45

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Solution

The fourth proportional to 517,212.06, 713,668.52 and 287,763.45 is: 397,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,212.06 : 713,668.52 = 287,763.45 : x
  2. Step 2: Convert to fraction form
    517,212.06/713,668.52 = 287,763.45/x
  3. Step 3: Cross multiply
    517,212.06x = 713,668.52 × 287,763.45
  4. Step 4: Simplify right side
    517,212.06x = 205,367,713,514.75
  5. Step 5: Solve for x
    x = 205,367,713,514.75/517,212.06
  6. Step 6: Final answer
    x = 397,066.76

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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.