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Finding the Fourth Proportional to 375,243.16, 517,816.26 and 205,444.44

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Solution

The fourth proportional to 375,243.16, 517,816.26 and 205,444.44 is: 283,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,243.16 : 517,816.26 = 205,444.44 : x
  2. Step 2: Convert to fraction form
    375,243.16/517,816.26 = 205,444.44/x
  3. Step 3: Cross multiply
    375,243.16x = 517,816.26 × 205,444.44
  4. Step 4: Simplify right side
    375,243.16x = 106,382,471,558.59
  5. Step 5: Solve for x
    x = 106,382,471,558.59/375,243.16
  6. Step 6: Final answer
    x = 283,502.76

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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.