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Finding the Fourth Proportional to 408,145.26, 562,699.38 and 335,274.42

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Solution

The fourth proportional to 408,145.26, 562,699.38 and 335,274.42 is: 462,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,145.26 : 562,699.38 = 335,274.42 : x
  2. Step 2: Convert to fraction form
    408,145.26/562,699.38 = 335,274.42/x
  3. Step 3: Cross multiply
    408,145.26x = 562,699.38 × 335,274.42
  4. Step 4: Simplify right side
    408,145.26x = 188,658,708,263.86
  5. Step 5: Solve for x
    x = 188,658,708,263.86/408,145.26
  6. Step 6: Final answer
    x = 462,234.23

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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.