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Finding the Fourth Proportional to 407,327.13, 610,810.27 and 217,741.57

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Solution

The fourth proportional to 407,327.13, 610,810.27 and 217,741.57 is: 326,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,327.13 : 610,810.27 = 217,741.57 : x
  2. Step 2: Convert to fraction form
    407,327.13/610,810.27 = 217,741.57/x
  3. Step 3: Cross multiply
    407,327.13x = 610,810.27 × 217,741.57
  4. Step 4: Simplify right side
    407,327.13x = 132,998,785,090.54
  5. Step 5: Solve for x
    x = 132,998,785,090.54/407,327.13
  6. Step 6: Final answer
    x = 326,515.90

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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.