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Finding the Fourth Proportional to 549,343.82, 824,020.86 and 194,418.02

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Solution

The fourth proportional to 549,343.82, 824,020.86 and 194,418.02 is: 291,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,343.82 : 824,020.86 = 194,418.02 : x
  2. Step 2: Convert to fraction form
    549,343.82/824,020.86 = 194,418.02/x
  3. Step 3: Cross multiply
    549,343.82x = 824,020.86 × 194,418.02
  4. Step 4: Simplify right side
    549,343.82x = 160,204,498,947.70
  5. Step 5: Solve for x
    x = 160,204,498,947.70/549,343.82
  6. Step 6: Final answer
    x = 291,628.84

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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.