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Finding the Fourth Proportional to 376,152.48, 519,099.98 and 206,386.56

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Solution

The fourth proportional to 376,152.48, 519,099.98 and 206,386.56 is: 284,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,152.48 : 519,099.98 = 206,386.56 : x
  2. Step 2: Convert to fraction form
    376,152.48/519,099.98 = 206,386.56/x
  3. Step 3: Cross multiply
    376,152.48x = 519,099.98 × 206,386.56
  4. Step 4: Simplify right side
    376,152.48x = 107,135,258,136.34
  5. Step 5: Solve for x
    x = 107,135,258,136.34/376,152.48
  6. Step 6: Final answer
    x = 284,818.69

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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.