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Finding the Fourth Proportional to 270,683.66, 406,023.25 and 211,569.02

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Solution

The fourth proportional to 270,683.66, 406,023.25 and 211,569.02 is: 317,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,683.66 : 406,023.25 = 211,569.02 : x
  2. Step 2: Convert to fraction form
    270,683.66/406,023.25 = 211,569.02/x
  3. Step 3: Cross multiply
    270,683.66x = 406,023.25 × 211,569.02
  4. Step 4: Simplify right side
    270,683.66x = 85,901,941,099.72
  5. Step 5: Solve for x
    x = 85,901,941,099.72/270,683.66
  6. Step 6: Final answer
    x = 317,351.78

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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.