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Finding the Fourth Proportional to 406,435.26, 560,874.60 and 225,146.64

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Solution

The fourth proportional to 406,435.26, 560,874.60 and 225,146.64 is: 310,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,435.26 : 560,874.60 = 225,146.64 : x
  2. Step 2: Convert to fraction form
    406,435.26/560,874.60 = 225,146.64/x
  3. Step 3: Cross multiply
    406,435.26x = 560,874.60 × 225,146.64
  4. Step 4: Simplify right side
    406,435.26x = 126,279,031,651.34
  5. Step 5: Solve for x
    x = 126,279,031,651.34/406,435.26
  6. Step 6: Final answer
    x = 310,699.01

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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.