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Finding the Fourth Proportional to 385,826.29, 532,434.53 and 213,743.90

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Solution

The fourth proportional to 385,826.29, 532,434.53 and 213,743.90 is: 294,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,826.29 : 532,434.53 = 213,743.90 : x
  2. Step 2: Convert to fraction form
    385,826.29/532,434.53 = 213,743.90/x
  3. Step 3: Cross multiply
    385,826.29x = 532,434.53 × 213,743.90
  4. Step 4: Simplify right side
    385,826.29x = 113,804,629,740.34
  5. Step 5: Solve for x
    x = 113,804,629,740.34/385,826.29
  6. Step 6: Final answer
    x = 294,963.39

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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.