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Finding the Fourth Proportional to 409,561.25, 565,147.80 and 237,443.32

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Solution

The fourth proportional to 409,561.25, 565,147.80 and 237,443.32 is: 327,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,561.25 : 565,147.80 = 237,443.32 : x
  2. Step 2: Convert to fraction form
    409,561.25/565,147.80 = 237,443.32/x
  3. Step 3: Cross multiply
    409,561.25x = 565,147.80 × 237,443.32
  4. Step 4: Simplify right side
    409,561.25x = 134,190,568,509.83
  5. Step 5: Solve for x
    x = 134,190,568,509.83/409,561.25
  6. Step 6: Final answer
    x = 327,644.69

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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.