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Finding the Fourth Proportional to 406,466.16, 561,197.04 and 253,736.88

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Solution

The fourth proportional to 406,466.16, 561,197.04 and 253,736.88 is: 350,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,466.16 : 561,197.04 = 253,736.88 : x
  2. Step 2: Convert to fraction form
    406,466.16/561,197.04 = 253,736.88/x
  3. Step 3: Cross multiply
    406,466.16x = 561,197.04 × 253,736.88
  4. Step 4: Simplify right side
    406,466.16x = 142,396,385,994.84
  5. Step 5: Solve for x
    x = 142,396,385,994.84/406,466.16
  6. Step 6: Final answer
    x = 350,327.78

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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.