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Finding the Fourth Proportional to 345,781.76, 477,225.60 and 202,598.96

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Solution

The fourth proportional to 345,781.76, 477,225.60 and 202,598.96 is: 279,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,781.76 : 477,225.60 = 202,598.96 : x
  2. Step 2: Convert to fraction form
    345,781.76/477,225.60 = 202,598.96/x
  3. Step 3: Cross multiply
    345,781.76x = 477,225.60 × 202,598.96
  4. Step 4: Simplify right side
    345,781.76x = 96,685,410,245.38
  5. Step 5: Solve for x
    x = 96,685,410,245.38/345,781.76
  6. Step 6: Final answer
    x = 279,613.97

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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.