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Finding the Fourth Proportional to 400,175.72, 599,597.20 and 281,597.96

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Solution

The fourth proportional to 400,175.72, 599,597.20 and 281,597.96 is: 421,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,175.72 : 599,597.20 = 281,597.96 : x
  2. Step 2: Convert to fraction form
    400,175.72/599,597.20 = 281,597.96/x
  3. Step 3: Cross multiply
    400,175.72x = 599,597.20 × 281,597.96
  4. Step 4: Simplify right side
    400,175.72x = 168,845,348,341.71
  5. Step 5: Solve for x
    x = 168,845,348,341.71/400,175.72
  6. Step 6: Final answer
    x = 421,928.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.