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Finding the Fourth Proportional to 411,980.48, 568,083.44 and 357,787.20

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Solution

The fourth proportional to 411,980.48, 568,083.44 and 357,787.20 is: 493,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,980.48 : 568,083.44 = 357,787.20 : x
  2. Step 2: Convert to fraction form
    411,980.48/568,083.44 = 357,787.20/x
  3. Step 3: Cross multiply
    411,980.48x = 568,083.44 × 357,787.20
  4. Step 4: Simplify right side
    411,980.48x = 203,252,983,363.97
  5. Step 5: Solve for x
    x = 203,252,983,363.97/411,980.48
  6. Step 6: Final answer
    x = 493,355.86

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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.