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Finding the Fourth Proportional to 291,713.33, 437,394.96 and 114,008.64

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Solution

The fourth proportional to 291,713.33, 437,394.96 and 114,008.64 is: 170,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,713.33 : 437,394.96 = 114,008.64 : x
  2. Step 2: Convert to fraction form
    291,713.33/437,394.96 = 114,008.64/x
  3. Step 3: Cross multiply
    291,713.33x = 437,394.96 × 114,008.64
  4. Step 4: Simplify right side
    291,713.33x = 49,866,804,532.45
  5. Step 5: Solve for x
    x = 49,866,804,532.45/291,713.33
  6. Step 6: Final answer
    x = 170,944.56

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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.