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Finding the Fourth Proportional to 291,705.33, 437,382.96 and 114,000.64

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Solution

The fourth proportional to 291,705.33, 437,382.96 and 114,000.64 is: 170,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,705.33 : 437,382.96 = 114,000.64 : x
  2. Step 2: Convert to fraction form
    291,705.33/437,382.96 = 114,000.64/x
  3. Step 3: Cross multiply
    291,705.33x = 437,382.96 × 114,000.64
  4. Step 4: Simplify right side
    291,705.33x = 49,861,937,365.09
  5. Step 5: Solve for x
    x = 49,861,937,365.09/291,705.33
  6. Step 6: Final answer
    x = 170,932.56

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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.