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Finding the Fourth Proportional to 368,006.61, 507,902.90 and 206,874.93

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Solution

The fourth proportional to 368,006.61, 507,902.90 and 206,874.93 is: 285,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,006.61 : 507,902.90 = 206,874.93 : x
  2. Step 2: Convert to fraction form
    368,006.61/507,902.90 = 206,874.93/x
  3. Step 3: Cross multiply
    368,006.61x = 507,902.90 × 206,874.93
  4. Step 4: Simplify right side
    368,006.61x = 105,072,377,401.48
  5. Step 5: Solve for x
    x = 105,072,377,401.48/368,006.61
  6. Step 6: Final answer
    x = 285,517.64

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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.