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Finding the Fourth Proportional to 297,849.66, 411,573.06 and 217,136.40

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Solution

The fourth proportional to 297,849.66, 411,573.06 and 217,136.40 is: 300,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,849.66 : 411,573.06 = 217,136.40 : x
  2. Step 2: Convert to fraction form
    297,849.66/411,573.06 = 217,136.40/x
  3. Step 3: Cross multiply
    297,849.66x = 411,573.06 × 217,136.40
  4. Step 4: Simplify right side
    297,849.66x = 89,367,492,585.38
  5. Step 5: Solve for x
    x = 89,367,492,585.38/297,849.66
  6. Step 6: Final answer
    x = 300,042.29

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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.