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Finding the Fourth Proportional to 484,560, 726,367.76 and 231,774.48

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Solution

The fourth proportional to 484,560, 726,367.76 and 231,774.48 is: 347,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,560 : 726,367.76 = 231,774.48 : x
  2. Step 2: Convert to fraction form
    484,560/726,367.76 = 231,774.48/x
  3. Step 3: Cross multiply
    484,560x = 726,367.76 × 231,774.48
  4. Step 4: Simplify right side
    484,560x = 168,353,509,862.77
  5. Step 5: Solve for x
    x = 168,353,509,862.77/484,560
  6. Step 6: Final answer
    x = 347,435.84

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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.