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Finding the Fourth Proportional to 357,562.31, 493,479.69 and 206,659.31

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Solution

The fourth proportional to 357,562.31, 493,479.69 and 206,659.31 is: 285,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,562.31 : 493,479.69 = 206,659.31 : x
  2. Step 2: Convert to fraction form
    357,562.31/493,479.69 = 206,659.31/x
  3. Step 3: Cross multiply
    357,562.31x = 493,479.69 × 206,659.31
  4. Step 4: Simplify right side
    357,562.31x = 101,982,169,767.02
  5. Step 5: Solve for x
    x = 101,982,169,767.02/357,562.31
  6. Step 6: Final answer
    x = 285,215.10

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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.