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Finding the Fourth Proportional to 407,098.17, 561,804.46 and 225,804.17

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Solution

The fourth proportional to 407,098.17, 561,804.46 and 225,804.17 is: 311,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,098.17 : 561,804.46 = 225,804.17 : x
  2. Step 2: Convert to fraction form
    407,098.17/561,804.46 = 225,804.17/x
  3. Step 3: Cross multiply
    407,098.17x = 561,804.46 × 225,804.17
  4. Step 4: Simplify right side
    407,098.17x = 126,857,790,632.60
  5. Step 5: Solve for x
    x = 126,857,790,632.60/407,098.17
  6. Step 6: Final answer
    x = 311,614.74

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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.