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Finding the Fourth Proportional to 567,206.65, 851,142.13 and 314,698.37

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Solution

The fourth proportional to 567,206.65, 851,142.13 and 314,698.37 is: 472,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,206.65 : 851,142.13 = 314,698.37 : x
  2. Step 2: Convert to fraction form
    567,206.65/851,142.13 = 314,698.37/x
  3. Step 3: Cross multiply
    567,206.65x = 851,142.13 × 314,698.37
  4. Step 4: Simplify right side
    567,206.65x = 267,853,035,906.87
  5. Step 5: Solve for x
    x = 267,853,035,906.87/567,206.65
  6. Step 6: Final answer
    x = 472,231.83

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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.