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Finding the Fourth Proportional to 357,892.29, 493,904.09 and 204,957.81

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Solution

The fourth proportional to 357,892.29, 493,904.09 and 204,957.81 is: 282,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,892.29 : 493,904.09 = 204,957.81 : x
  2. Step 2: Convert to fraction form
    357,892.29/493,904.09 = 204,957.81/x
  3. Step 3: Cross multiply
    357,892.29x = 493,904.09 × 204,957.81
  4. Step 4: Simplify right side
    357,892.29x = 101,229,499,611.65
  5. Step 5: Solve for x
    x = 101,229,499,611.65/357,892.29
  6. Step 6: Final answer
    x = 282,849.07

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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.