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Finding the Fourth Proportional to 289,567.80, 399,468.39 and 182,197.02

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Solution

The fourth proportional to 289,567.80, 399,468.39 and 182,197.02 is: 251,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,567.80 : 399,468.39 = 182,197.02 : x
  2. Step 2: Convert to fraction form
    289,567.80/399,468.39 = 182,197.02/x
  3. Step 3: Cross multiply
    289,567.80x = 399,468.39 × 182,197.02
  4. Step 4: Simplify right side
    289,567.80x = 72,781,950,242.20
  5. Step 5: Solve for x
    x = 72,781,950,242.20/289,567.80
  6. Step 6: Final answer
    x = 251,346.84

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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.