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Finding the Fourth Proportional to 411,649.10, 568,102.11 and 230,381.90

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Solution

The fourth proportional to 411,649.10, 568,102.11 and 230,381.90 is: 317,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,649.10 : 568,102.11 = 230,381.90 : x
  2. Step 2: Convert to fraction form
    411,649.10/568,102.11 = 230,381.90/x
  3. Step 3: Cross multiply
    411,649.10x = 568,102.11 × 230,381.90
  4. Step 4: Simplify right side
    411,649.10x = 130,880,443,495.81
  5. Step 5: Solve for x
    x = 130,880,443,495.81/411,649.10
  6. Step 6: Final answer
    x = 317,941.77

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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.