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Finding the Fourth Proportional to 398,849.39, 597,775.16 and 199,225.50

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Solution

The fourth proportional to 398,849.39, 597,775.16 and 199,225.50 is: 298,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,849.39 : 597,775.16 = 199,225.50 : x
  2. Step 2: Convert to fraction form
    398,849.39/597,775.16 = 199,225.50/x
  3. Step 3: Cross multiply
    398,849.39x = 597,775.16 × 199,225.50
  4. Step 4: Simplify right side
    398,849.39x = 119,092,051,153.58
  5. Step 5: Solve for x
    x = 119,092,051,153.58/398,849.39
  6. Step 6: Final answer
    x = 298,589.03

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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.