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Finding the Fourth Proportional to 375,047.82, 517,463.64 and 213,844.05

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Solution

The fourth proportional to 375,047.82, 517,463.64 and 213,844.05 is: 295,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,047.82 : 517,463.64 = 213,844.05 : x
  2. Step 2: Convert to fraction form
    375,047.82/517,463.64 = 213,844.05/x
  3. Step 3: Cross multiply
    375,047.82x = 517,463.64 × 213,844.05
  4. Step 4: Simplify right side
    375,047.82x = 110,656,520,505.34
  5. Step 5: Solve for x
    x = 110,656,520,505.34/375,047.82
  6. Step 6: Final answer
    x = 295,046.43

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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.