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Finding the Fourth Proportional to 337,206.60, 505,728.90 and 194,743.80

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Solution

The fourth proportional to 337,206.60, 505,728.90 and 194,743.80 is: 292,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,206.60 : 505,728.90 = 194,743.80 : x
  2. Step 2: Convert to fraction form
    337,206.60/505,728.90 = 194,743.80/x
  3. Step 3: Cross multiply
    337,206.60x = 505,728.90 × 194,743.80
  4. Step 4: Simplify right side
    337,206.60x = 98,487,567,755.82
  5. Step 5: Solve for x
    x = 98,487,567,755.82/337,206.60
  6. Step 6: Final answer
    x = 292,068.92

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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.