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Finding the Fourth Proportional to 375,224.72, 517,804.94 and 205,458.82

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Solution

The fourth proportional to 375,224.72, 517,804.94 and 205,458.82 is: 283,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,224.72 : 517,804.94 = 205,458.82 : x
  2. Step 2: Convert to fraction form
    375,224.72/517,804.94 = 205,458.82/x
  3. Step 3: Cross multiply
    375,224.72x = 517,804.94 × 205,458.82
  4. Step 4: Simplify right side
    375,224.72x = 106,387,591,962.57
  5. Step 5: Solve for x
    x = 106,387,591,962.57/375,224.72
  6. Step 6: Final answer
    x = 283,530.34

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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.