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Finding the Fourth Proportional to 382,266.34, 527,541.10 and 210,197.41

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Solution

The fourth proportional to 382,266.34, 527,541.10 and 210,197.41 is: 290,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,266.34 : 527,541.10 = 210,197.41 : x
  2. Step 2: Convert to fraction form
    382,266.34/527,541.10 = 210,197.41/x
  3. Step 3: Cross multiply
    382,266.34x = 527,541.10 × 210,197.41
  4. Step 4: Simplify right side
    382,266.34x = 110,887,771,044.21
  5. Step 5: Solve for x
    x = 110,887,771,044.21/382,266.34
  6. Step 6: Final answer
    x = 290,079.87

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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.