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Finding the Fourth Proportional to 401,616.69, 602,105.34 and 199,070.25

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Solution

The fourth proportional to 401,616.69, 602,105.34 and 199,070.25 is: 298,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,616.69 : 602,105.34 = 199,070.25 : x
  2. Step 2: Convert to fraction form
    401,616.69/602,105.34 = 199,070.25/x
  3. Step 3: Cross multiply
    401,616.69x = 602,105.34 × 199,070.25
  4. Step 4: Simplify right side
    401,616.69x = 119,861,260,560.14
  5. Step 5: Solve for x
    x = 119,861,260,560.14/401,616.69
  6. Step 6: Final answer
    x = 298,446.91

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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.