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Finding the Fourth Proportional to 406,074.11, 560,375.46 and 224,782.16

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Solution

The fourth proportional to 406,074.11, 560,375.46 and 224,782.16 is: 310,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,074.11 : 560,375.46 = 224,782.16 : x
  2. Step 2: Convert to fraction form
    406,074.11/560,375.46 = 224,782.16/x
  3. Step 3: Cross multiply
    406,074.11x = 560,375.46 × 224,782.16
  4. Step 4: Simplify right side
    406,074.11x = 125,962,403,507.92
  5. Step 5: Solve for x
    x = 125,962,403,507.92/406,074.11
  6. Step 6: Final answer
    x = 310,195.61

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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.