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Finding the Fourth Proportional to 536,011.83, 804,157.17 and 199,149.59

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Solution

The fourth proportional to 536,011.83, 804,157.17 and 199,149.59 is: 298,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,011.83 : 804,157.17 = 199,149.59 : x
  2. Step 2: Convert to fraction form
    536,011.83/804,157.17 = 199,149.59/x
  3. Step 3: Cross multiply
    536,011.83x = 804,157.17 × 199,149.59
  4. Step 4: Simplify right side
    536,011.83x = 160,147,567,441.26
  5. Step 5: Solve for x
    x = 160,147,567,441.26/536,011.83
  6. Step 6: Final answer
    x = 298,776.18

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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.