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Finding the Fourth Proportional to 384,136.20, 576,204.30 and 344,867.40

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Solution

The fourth proportional to 384,136.20, 576,204.30 and 344,867.40 is: 517,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,136.20 : 576,204.30 = 344,867.40 : x
  2. Step 2: Convert to fraction form
    384,136.20/576,204.30 = 344,867.40/x
  3. Step 3: Cross multiply
    384,136.20x = 576,204.30 × 344,867.40
  4. Step 4: Simplify right side
    384,136.20x = 198,714,078,809.82
  5. Step 5: Solve for x
    x = 198,714,078,809.82/384,136.20
  6. Step 6: Final answer
    x = 517,301.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.