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Finding the Fourth Proportional to 354,383.52, 531,643.76 and 114,562

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Solution

The fourth proportional to 354,383.52, 531,643.76 and 114,562 is: 171,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,383.52 : 531,643.76 = 114,562 : x
  2. Step 2: Convert to fraction form
    354,383.52/531,643.76 = 114,562/x
  3. Step 3: Cross multiply
    354,383.52x = 531,643.76 × 114,562
  4. Step 4: Simplify right side
    354,383.52x = 60,906,172,433.12
  5. Step 5: Solve for x
    x = 60,906,172,433.12/354,383.52
  6. Step 6: Final answer
    x = 171,865.14

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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.