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Finding the Fourth Proportional to 375,143.48, 517,747.26 and 213,961.60

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Solution

The fourth proportional to 375,143.48, 517,747.26 and 213,961.60 is: 295,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,143.48 : 517,747.26 = 213,961.60 : x
  2. Step 2: Convert to fraction form
    375,143.48/517,747.26 = 213,961.60/x
  3. Step 3: Cross multiply
    375,143.48x = 517,747.26 × 213,961.60
  4. Step 4: Simplify right side
    375,143.48x = 110,778,032,145.22
  5. Step 5: Solve for x
    x = 110,778,032,145.22/375,143.48
  6. Step 6: Final answer
    x = 295,295.10

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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.