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Finding the Fourth Proportional to 517,794.70, 714,572.96 and 285,238.50

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Solution

The fourth proportional to 517,794.70, 714,572.96 and 285,238.50 is: 393,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,794.70 : 714,572.96 = 285,238.50 : x
  2. Step 2: Convert to fraction form
    517,794.70/714,572.96 = 285,238.50/x
  3. Step 3: Cross multiply
    517,794.70x = 714,572.96 × 285,238.50
  4. Step 4: Simplify right side
    517,794.70x = 203,823,719,250.96
  5. Step 5: Solve for x
    x = 203,823,719,250.96/517,794.70
  6. Step 6: Final answer
    x = 393,638.09

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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.