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Finding the Fourth Proportional to 360,198.56, 497,031.72 and 199,044

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Solution

The fourth proportional to 360,198.56, 497,031.72 and 199,044 is: 274,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,198.56 : 497,031.72 = 199,044 : x
  2. Step 2: Convert to fraction form
    360,198.56/497,031.72 = 199,044/x
  3. Step 3: Cross multiply
    360,198.56x = 497,031.72 × 199,044
  4. Step 4: Simplify right side
    360,198.56x = 98,931,181,675.68
  5. Step 5: Solve for x
    x = 98,931,181,675.68/360,198.56
  6. Step 6: Final answer
    x = 274,657.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.