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Finding the Fourth Proportional to 516,336.26, 712,610.86 and 289,981.76

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Solution

The fourth proportional to 516,336.26, 712,610.86 and 289,981.76 is: 400,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,336.26 : 712,610.86 = 289,981.76 : x
  2. Step 2: Convert to fraction form
    516,336.26/712,610.86 = 289,981.76/x
  3. Step 3: Cross multiply
    516,336.26x = 712,610.86 × 289,981.76
  4. Step 4: Simplify right side
    516,336.26x = 206,644,151,377.91
  5. Step 5: Solve for x
    x = 206,644,151,377.91/516,336.26
  6. Step 6: Final answer
    x = 400,212.36

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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.