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Finding the Fourth Proportional to 375,107.06, 517,648.61 and 205,352.10

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Solution

The fourth proportional to 375,107.06, 517,648.61 and 205,352.10 is: 283,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,107.06 : 517,648.61 = 205,352.10 : x
  2. Step 2: Convert to fraction form
    375,107.06/517,648.61 = 205,352.10/x
  3. Step 3: Cross multiply
    375,107.06x = 517,648.61 × 205,352.10
  4. Step 4: Simplify right side
    375,107.06x = 106,300,229,125.58
  5. Step 5: Solve for x
    x = 106,300,229,125.58/375,107.06
  6. Step 6: Final answer
    x = 283,386.37

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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.