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Finding the Fourth Proportional to 291,975.88, 402,857.70 and 177,251.56

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Solution

The fourth proportional to 291,975.88, 402,857.70 and 177,251.56 is: 244,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,975.88 : 402,857.70 = 177,251.56 : x
  2. Step 2: Convert to fraction form
    291,975.88/402,857.70 = 177,251.56/x
  3. Step 3: Cross multiply
    291,975.88x = 402,857.70 × 177,251.56
  4. Step 4: Simplify right side
    291,975.88x = 71,407,155,783.01
  5. Step 5: Solve for x
    x = 71,407,155,783.01/291,975.88
  6. Step 6: Final answer
    x = 244,565.26

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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.