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Finding the Fourth Proportional to 385,826.20, 532,427.76 and 213,737.14

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Solution

The fourth proportional to 385,826.20, 532,427.76 and 213,737.14 is: 294,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,826.20 : 532,427.76 = 213,737.14 : x
  2. Step 2: Convert to fraction form
    385,826.20/532,427.76 = 213,737.14/x
  3. Step 3: Cross multiply
    385,826.20x = 532,427.76 × 213,737.14
  4. Step 4: Simplify right side
    385,826.20x = 113,799,586,679.01
  5. Step 5: Solve for x
    x = 113,799,586,679.01/385,826.20
  6. Step 6: Final answer
    x = 294,950.39

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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.