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Finding the Fourth Proportional to 375,108.48, 517,656.96 and 205,338.96

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Solution

The fourth proportional to 375,108.48, 517,656.96 and 205,338.96 is: 283,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,108.48 : 517,656.96 = 205,338.96 : x
  2. Step 2: Convert to fraction form
    375,108.48/517,656.96 = 205,338.96/x
  3. Step 3: Cross multiply
    375,108.48x = 517,656.96 × 205,338.96
  4. Step 4: Simplify right side
    375,108.48x = 106,295,141,803.16
  5. Step 5: Solve for x
    x = 106,295,141,803.16/375,108.48
  6. Step 6: Final answer
    x = 283,371.74

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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.