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Finding the Fourth Proportional to 342,487.16, 472,342.10 and 206,491.24

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Solution

The fourth proportional to 342,487.16, 472,342.10 and 206,491.24 is: 284,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,487.16 : 472,342.10 = 206,491.24 : x
  2. Step 2: Convert to fraction form
    342,487.16/472,342.10 = 206,491.24/x
  3. Step 3: Cross multiply
    342,487.16x = 472,342.10 × 206,491.24
  4. Step 4: Simplify right side
    342,487.16x = 97,534,505,933.20
  5. Step 5: Solve for x
    x = 97,534,505,933.20/342,487.16
  6. Step 6: Final answer
    x = 284,782.96

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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.