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Finding the Fourth Proportional to 323,024.64, 484,581.28 and 109,735.28

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Solution

The fourth proportional to 323,024.64, 484,581.28 and 109,735.28 is: 164,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,024.64 : 484,581.28 = 109,735.28 : x
  2. Step 2: Convert to fraction form
    323,024.64/484,581.28 = 109,735.28/x
  3. Step 3: Cross multiply
    323,024.64x = 484,581.28 × 109,735.28
  4. Step 4: Simplify right side
    323,024.64x = 53,175,662,443.56
  5. Step 5: Solve for x
    x = 53,175,662,443.56/323,024.64
  6. Step 6: Final answer
    x = 164,617.98

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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.