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Finding the Fourth Proportional to 357,568.98, 493,238.92 and 214,245.98

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Solution

The fourth proportional to 357,568.98, 493,238.92 and 214,245.98 is: 295,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,568.98 : 493,238.92 = 214,245.98 : x
  2. Step 2: Convert to fraction form
    357,568.98/493,238.92 = 214,245.98/x
  3. Step 3: Cross multiply
    357,568.98x = 493,238.92 × 214,245.98
  4. Step 4: Simplify right side
    357,568.98x = 105,674,455,789.54
  5. Step 5: Solve for x
    x = 105,674,455,789.54/357,568.98
  6. Step 6: Final answer
    x = 295,535.86

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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.