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Finding the Fourth Proportional to 484,419.92, 725,579.64 and 234,578

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Solution

The fourth proportional to 484,419.92, 725,579.64 and 234,578 is: 351,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,419.92 : 725,579.64 = 234,578 : x
  2. Step 2: Convert to fraction form
    484,419.92/725,579.64 = 234,578/x
  3. Step 3: Cross multiply
    484,419.92x = 725,579.64 × 234,578
  4. Step 4: Simplify right side
    484,419.92x = 170,205,020,791.92
  5. Step 5: Solve for x
    x = 170,205,020,791.92/484,419.92
  6. Step 6: Final answer
    x = 351,358.43

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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.