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Finding the Fourth Proportional to 389,490.08, 584,229.02 and 199,841

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Solution

The fourth proportional to 389,490.08, 584,229.02 and 199,841 is: 299,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,490.08 : 584,229.02 = 199,841 : x
  2. Step 2: Convert to fraction form
    389,490.08/584,229.02 = 199,841/x
  3. Step 3: Cross multiply
    389,490.08x = 584,229.02 × 199,841
  4. Step 4: Simplify right side
    389,490.08x = 116,752,911,585.82
  5. Step 5: Solve for x
    x = 116,752,911,585.82/389,490.08
  6. Step 6: Final answer
    x = 299,758.37

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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.