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Finding the Fourth Proportional to 522,296.55, 783,514.54 and 206,679.65

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Solution

The fourth proportional to 522,296.55, 783,514.54 and 206,679.65 is: 310,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,296.55 : 783,514.54 = 206,679.65 : x
  2. Step 2: Convert to fraction form
    522,296.55/783,514.54 = 206,679.65/x
  3. Step 3: Cross multiply
    522,296.55x = 783,514.54 × 206,679.65
  4. Step 4: Simplify right side
    522,296.55x = 161,936,505,946.14
  5. Step 5: Solve for x
    x = 161,936,505,946.14/522,296.55
  6. Step 6: Final answer
    x = 310,047.05

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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.