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Finding the Fourth Proportional to 376,832.01, 565,331.06 and 208,597.71

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Solution

The fourth proportional to 376,832.01, 565,331.06 and 208,597.71 is: 312,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,832.01 : 565,331.06 = 208,597.71 : x
  2. Step 2: Convert to fraction form
    376,832.01/565,331.06 = 208,597.71/x
  3. Step 3: Cross multiply
    376,832.01x = 565,331.06 × 208,597.71
  4. Step 4: Simplify right side
    376,832.01x = 117,926,763,464.88
  5. Step 5: Solve for x
    x = 117,926,763,464.88/376,832.01
  6. Step 6: Final answer
    x = 312,942.53

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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.