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Finding the Fourth Proportional to 463,246.40, 695,258.40 and 226,791.20

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Solution

The fourth proportional to 463,246.40, 695,258.40 and 226,791.20 is: 340,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,246.40 : 695,258.40 = 226,791.20 : x
  2. Step 2: Convert to fraction form
    463,246.40/695,258.40 = 226,791.20/x
  3. Step 3: Cross multiply
    463,246.40x = 695,258.40 × 226,791.20
  4. Step 4: Simplify right side
    463,246.40x = 157,678,486,846.08
  5. Step 5: Solve for x
    x = 157,678,486,846.08/463,246.40
  6. Step 6: Final answer
    x = 340,377.14

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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.