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Finding the Fourth Proportional to 356,856.32, 492,426.24 and 206,001.92

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Solution

The fourth proportional to 356,856.32, 492,426.24 and 206,001.92 is: 284,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,856.32 : 492,426.24 = 206,001.92 : x
  2. Step 2: Convert to fraction form
    356,856.32/492,426.24 = 206,001.92/x
  3. Step 3: Cross multiply
    356,856.32x = 492,426.24 × 206,001.92
  4. Step 4: Simplify right side
    356,856.32x = 101,440,750,898.38
  5. Step 5: Solve for x
    x = 101,440,750,898.38/356,856.32
  6. Step 6: Final answer
    x = 284,262.17

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Why These Related Problems?

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