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Finding the Fourth Proportional to 484,122.40, 726,086.40 and 231,402.40

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Solution

The fourth proportional to 484,122.40, 726,086.40 and 231,402.40 is: 347,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,122.40 : 726,086.40 = 231,402.40 : x
  2. Step 2: Convert to fraction form
    484,122.40/726,086.40 = 231,402.40/x
  3. Step 3: Cross multiply
    484,122.40x = 726,086.40 × 231,402.40
  4. Step 4: Simplify right side
    484,122.40x = 168,018,135,567.36
  5. Step 5: Solve for x
    x = 168,018,135,567.36/484,122.40
  6. Step 6: Final answer
    x = 347,057.14

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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.