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Finding the Fourth Proportional to 339,720.60, 509,969.70 and 199,558.20

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Solution

The fourth proportional to 339,720.60, 509,969.70 and 199,558.20 is: 299,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,720.60 : 509,969.70 = 199,558.20 : x
  2. Step 2: Convert to fraction form
    339,720.60/509,969.70 = 199,558.20/x
  3. Step 3: Cross multiply
    339,720.60x = 509,969.70 × 199,558.20
  4. Step 4: Simplify right side
    339,720.60x = 101,768,635,386.54
  5. Step 5: Solve for x
    x = 101,768,635,386.54/339,720.60
  6. Step 6: Final answer
    x = 299,565.69

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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.