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Finding the Fourth Proportional to 375,118.59, 517,663.66 and 205,352.72

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Solution

The fourth proportional to 375,118.59, 517,663.66 and 205,352.72 is: 283,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,118.59 : 517,663.66 = 205,352.72 : x
  2. Step 2: Convert to fraction form
    375,118.59/517,663.66 = 205,352.72/x
  3. Step 3: Cross multiply
    375,118.59x = 517,663.66 × 205,352.72
  4. Step 4: Simplify right side
    375,118.59x = 106,303,639,850.73
  5. Step 5: Solve for x
    x = 106,303,639,850.73/375,118.59
  6. Step 6: Final answer
    x = 283,386.75

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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.