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Finding the Fourth Proportional to 385,610.56, 532,142.24 and 213,528.52

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Solution

The fourth proportional to 385,610.56, 532,142.24 and 213,528.52 is: 294,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,610.56 : 532,142.24 = 213,528.52 : x
  2. Step 2: Convert to fraction form
    385,610.56/532,142.24 = 213,528.52/x
  3. Step 3: Cross multiply
    385,610.56x = 532,142.24 × 213,528.52
  4. Step 4: Simplify right side
    385,610.56x = 113,627,544,936.69
  5. Step 5: Solve for x
    x = 113,627,544,936.69/385,610.56
  6. Step 6: Final answer
    x = 294,669.17

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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.