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Finding the Fourth Proportional to 261,816.90, 361,520.38 and 213,426.42

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Solution

The fourth proportional to 261,816.90, 361,520.38 and 213,426.42 is: 294,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,816.90 : 361,520.38 = 213,426.42 : x
  2. Step 2: Convert to fraction form
    261,816.90/361,520.38 = 213,426.42/x
  3. Step 3: Cross multiply
    261,816.90x = 361,520.38 × 213,426.42
  4. Step 4: Simplify right side
    261,816.90x = 77,158,000,460.44
  5. Step 5: Solve for x
    x = 77,158,000,460.44/261,816.90
  6. Step 6: Final answer
    x = 294,702.14

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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.