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Finding the Fourth Proportional to 291,709.09, 437,388.57 and 114,004.39

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Solution

The fourth proportional to 291,709.09, 437,388.57 and 114,004.39 is: 170,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,709.09 : 437,388.57 = 114,004.39 : x
  2. Step 2: Convert to fraction form
    291,709.09/437,388.57 = 114,004.39/x
  3. Step 3: Cross multiply
    291,709.09x = 437,388.57 × 114,004.39
  4. Step 4: Simplify right side
    291,709.09x = 49,864,217,115.82
  5. Step 5: Solve for x
    x = 49,864,217,115.82/291,709.09
  6. Step 6: Final answer
    x = 170,938.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.