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Finding the Fourth Proportional to 484,416.57, 726,153.42 and 231,631.77

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Solution

The fourth proportional to 484,416.57, 726,153.42 and 231,631.77 is: 347,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,416.57 : 726,153.42 = 231,631.77 : x
  2. Step 2: Convert to fraction form
    484,416.57/726,153.42 = 231,631.77/x
  3. Step 3: Cross multiply
    484,416.57x = 726,153.42 × 231,631.77
  4. Step 4: Simplify right side
    484,416.57x = 168,200,201,966.15
  5. Step 5: Solve for x
    x = 168,200,201,966.15/484,416.57
  6. Step 6: Final answer
    x = 347,222.23

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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.