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Finding the Fourth Proportional to 353,033.64, 487,174.50 and 202,101.48

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Solution

The fourth proportional to 353,033.64, 487,174.50 and 202,101.48 is: 278,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,033.64 : 487,174.50 = 202,101.48 : x
  2. Step 2: Convert to fraction form
    353,033.64/487,174.50 = 202,101.48/x
  3. Step 3: Cross multiply
    353,033.64x = 487,174.50 × 202,101.48
  4. Step 4: Simplify right side
    353,033.64x = 98,458,687,468.26
  5. Step 5: Solve for x
    x = 98,458,687,468.26/353,033.64
  6. Step 6: Final answer
    x = 278,893.22

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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.