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Finding the Fourth Proportional to 289,781.80, 434,672.70 and 199,580.20

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Solution

The fourth proportional to 289,781.80, 434,672.70 and 199,580.20 is: 299,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.80 : 434,672.70 = 199,580.20 : x
  2. Step 2: Convert to fraction form
    289,781.80/434,672.70 = 199,580.20/x
  3. Step 3: Cross multiply
    289,781.80x = 434,672.70 × 199,580.20
  4. Step 4: Simplify right side
    289,781.80x = 86,752,064,400.54
  5. Step 5: Solve for x
    x = 86,752,064,400.54/289,781.80
  6. Step 6: Final answer
    x = 299,370.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.