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Finding the Fourth Proportional to 357,842.92, 493,849.02 and 214,600.36

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Solution

The fourth proportional to 357,842.92, 493,849.02 and 214,600.36 is: 296,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,842.92 : 493,849.02 = 214,600.36 : x
  2. Step 2: Convert to fraction form
    357,842.92/493,849.02 = 214,600.36/x
  3. Step 3: Cross multiply
    357,842.92x = 493,849.02 × 214,600.36
  4. Step 4: Simplify right side
    357,842.92x = 105,980,177,477.65
  5. Step 5: Solve for x
    x = 105,980,177,477.65/357,842.92
  6. Step 6: Final answer
    x = 296,163.96

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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.