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Finding the Fourth Proportional to 515,953.24, 711,976.41 and 289,555

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Solution

The fourth proportional to 515,953.24, 711,976.41 and 289,555 is: 399,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,953.24 : 711,976.41 = 289,555 : x
  2. Step 2: Convert to fraction form
    515,953.24/711,976.41 = 289,555/x
  3. Step 3: Cross multiply
    515,953.24x = 711,976.41 × 289,555
  4. Step 4: Simplify right side
    515,953.24x = 206,156,329,397.55
  5. Step 5: Solve for x
    x = 206,156,329,397.55/515,953.24
  6. Step 6: Final answer
    x = 399,563.98

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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.