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Finding the Fourth Proportional to 387,107.92, 534,201 and 217,342

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Solution

The fourth proportional to 387,107.92, 534,201 and 217,342 is: 299,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,107.92 : 534,201 = 217,342 : x
  2. Step 2: Convert to fraction form
    387,107.92/534,201 = 217,342/x
  3. Step 3: Cross multiply
    387,107.92x = 534,201 × 217,342
  4. Step 4: Simplify right side
    387,107.92x = 116,104,313,742
  5. Step 5: Solve for x
    x = 116,104,313,742/387,107.92
  6. Step 6: Final answer
    x = 299,927.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.