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Finding the Fourth Proportional to 862,203.17, 1,189,840.71 and 499,837.09

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Solution

The fourth proportional to 862,203.17, 1,189,840.71 and 499,837.09 is: 689,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,203.17 : 1,189,840.71 = 499,837.09 : x
  2. Step 2: Convert to fraction form
    862,203.17/1,189,840.71 = 499,837.09/x
  3. Step 3: Cross multiply
    862,203.17x = 1,189,840.71 × 499,837.09
  4. Step 4: Simplify right side
    862,203.17x = 594,726,515,550.75
  5. Step 5: Solve for x
    x = 594,726,515,550.75/862,203.17
  6. Step 6: Final answer
    x = 689,775.38

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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.