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Finding the Fourth Proportional to 314,326.05, 433,468.44 and 211,193.48

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Solution

The fourth proportional to 314,326.05, 433,468.44 and 211,193.48 is: 291,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,326.05 : 433,468.44 = 211,193.48 : x
  2. Step 2: Convert to fraction form
    314,326.05/433,468.44 = 211,193.48/x
  3. Step 3: Cross multiply
    314,326.05x = 433,468.44 × 211,193.48
  4. Step 4: Simplify right side
    314,326.05x = 91,545,706,146.43
  5. Step 5: Solve for x
    x = 91,545,706,146.43/314,326.05
  6. Step 6: Final answer
    x = 291,244.41

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