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Finding the Fourth Proportional to 384,772.30, 530,974.90 and 215,006.42

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Solution

The fourth proportional to 384,772.30, 530,974.90 and 215,006.42 is: 296,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,772.30 : 530,974.90 = 215,006.42 : x
  2. Step 2: Convert to fraction form
    384,772.30/530,974.90 = 215,006.42/x
  3. Step 3: Cross multiply
    384,772.30x = 530,974.90 × 215,006.42
  4. Step 4: Simplify right side
    384,772.30x = 114,163,012,358.86
  5. Step 5: Solve for x
    x = 114,163,012,358.86/384,772.30
  6. Step 6: Final answer
    x = 296,702.78

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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.