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Finding the Fourth Proportional to 518,345.91, 715,320.69 and 288,917.77

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Solution

The fourth proportional to 518,345.91, 715,320.69 and 288,917.77 is: 398,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,345.91 : 715,320.69 = 288,917.77 : x
  2. Step 2: Convert to fraction form
    518,345.91/715,320.69 = 288,917.77/x
  3. Step 3: Cross multiply
    518,345.91x = 715,320.69 × 288,917.77
  4. Step 4: Simplify right side
    518,345.91x = 206,668,858,589.66
  5. Step 5: Solve for x
    x = 206,668,858,589.66/518,345.91
  6. Step 6: Final answer
    x = 398,708.38

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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.