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Finding the Fourth Proportional to 539,743.10, 809,617.48 and 224,200.31

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Solution

The fourth proportional to 539,743.10, 809,617.48 and 224,200.31 is: 336,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,743.10 : 809,617.48 = 224,200.31 : x
  2. Step 2: Convert to fraction form
    539,743.10/809,617.48 = 224,200.31/x
  3. Step 3: Cross multiply
    539,743.10x = 809,617.48 × 224,200.31
  4. Step 4: Simplify right side
    539,743.10x = 181,516,485,388.83
  5. Step 5: Solve for x
    x = 181,516,485,388.83/539,743.10
  6. Step 6: Final answer
    x = 336,301.64

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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.