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Finding the Fourth Proportional to 517,872.12, 714,568.14 and 291,469.56

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Solution

The fourth proportional to 517,872.12, 714,568.14 and 291,469.56 is: 402,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,872.12 : 714,568.14 = 291,469.56 : x
  2. Step 2: Convert to fraction form
    517,872.12/714,568.14 = 291,469.56/x
  3. Step 3: Cross multiply
    517,872.12x = 714,568.14 × 291,469.56
  4. Step 4: Simplify right side
    517,872.12x = 208,274,861,355.82
  5. Step 5: Solve for x
    x = 208,274,861,355.82/517,872.12
  6. Step 6: Final answer
    x = 402,174.31

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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.