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Finding the Fourth Proportional to 382,042.90, 527,188.32 and 220,908.40

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Solution

The fourth proportional to 382,042.90, 527,188.32 and 220,908.40 is: 304,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,042.90 : 527,188.32 = 220,908.40 : x
  2. Step 2: Convert to fraction form
    382,042.90/527,188.32 = 220,908.40/x
  3. Step 3: Cross multiply
    382,042.90x = 527,188.32 × 220,908.40
  4. Step 4: Simplify right side
    382,042.90x = 116,460,328,269.89
  5. Step 5: Solve for x
    x = 116,460,328,269.89/382,042.90
  6. Step 6: Final answer
    x = 304,835.74

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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.