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Finding the Fourth Proportional to 403,644, 557,028.90 and 233,976.54

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Solution

The fourth proportional to 403,644, 557,028.90 and 233,976.54 is: 322,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,644 : 557,028.90 = 233,976.54 : x
  2. Step 2: Convert to fraction form
    403,644/557,028.90 = 233,976.54/x
  3. Step 3: Cross multiply
    403,644x = 557,028.90 × 233,976.54
  4. Step 4: Simplify right side
    403,644x = 130,331,694,702.01
  5. Step 5: Solve for x
    x = 130,331,694,702.01/403,644
  6. Step 6: Final answer
    x = 322,887.73

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1.5x scale

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.