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Finding the Fourth Proportional to 378,179.76, 521,881.11 and 206,099.11

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Solution

The fourth proportional to 378,179.76, 521,881.11 and 206,099.11 is: 284,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,179.76 : 521,881.11 = 206,099.11 : x
  2. Step 2: Convert to fraction form
    378,179.76/521,881.11 = 206,099.11/x
  3. Step 3: Cross multiply
    378,179.76x = 521,881.11 × 206,099.11
  4. Step 4: Simplify right side
    378,179.76x = 107,559,232,296.81
  5. Step 5: Solve for x
    x = 107,559,232,296.81/378,179.76
  6. Step 6: Final answer
    x = 284,412.98

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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.