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Finding the Fourth Proportional to 541,506.32, 812,035.56 and 204,489.68

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Solution

The fourth proportional to 541,506.32, 812,035.56 and 204,489.68 is: 306,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,506.32 : 812,035.56 = 204,489.68 : x
  2. Step 2: Convert to fraction form
    541,506.32/812,035.56 = 204,489.68/x
  3. Step 3: Cross multiply
    541,506.32x = 812,035.56 × 204,489.68
  4. Step 4: Simplify right side
    541,506.32x = 166,052,891,813.02
  5. Step 5: Solve for x
    x = 166,052,891,813.02/541,506.32
  6. Step 6: Final answer
    x = 306,649.96

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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.