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Finding the Fourth Proportional to 375,235.02, 517,819.14 and 205,469.10

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Solution

The fourth proportional to 375,235.02, 517,819.14 and 205,469.10 is: 283,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,235.02 : 517,819.14 = 205,469.10 : x
  2. Step 2: Convert to fraction form
    375,235.02/517,819.14 = 205,469.10/x
  3. Step 3: Cross multiply
    375,235.02x = 517,819.14 × 205,469.10
  4. Step 4: Simplify right side
    375,235.02x = 106,395,832,658.57
  5. Step 5: Solve for x
    x = 106,395,832,658.57/375,235.02
  6. Step 6: Final answer
    x = 283,544.52

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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.