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Finding the Fourth Proportional to 484,542.46, 726,341.55 and 231,756.94

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Solution

The fourth proportional to 484,542.46, 726,341.55 and 231,756.94 is: 347,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,542.46 : 726,341.55 = 231,756.94 : x
  2. Step 2: Convert to fraction form
    484,542.46/726,341.55 = 231,756.94/x
  3. Step 3: Cross multiply
    484,542.46x = 726,341.55 × 231,756.94
  4. Step 4: Simplify right side
    484,542.46x = 168,334,695,022.86
  5. Step 5: Solve for x
    x = 168,334,695,022.86/484,542.46
  6. Step 6: Final answer
    x = 347,409.59

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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.