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Finding the Fourth Proportional to 365,823.92, 504,856.56 and 204,669.32

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Solution

The fourth proportional to 365,823.92, 504,856.56 and 204,669.32 is: 282,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,823.92 : 504,856.56 = 204,669.32 : x
  2. Step 2: Convert to fraction form
    365,823.92/504,856.56 = 204,669.32/x
  3. Step 3: Cross multiply
    365,823.92x = 504,856.56 × 204,669.32
  4. Step 4: Simplify right side
    365,823.92x = 103,328,648,832.74
  5. Step 5: Solve for x
    x = 103,328,648,832.74/365,823.92
  6. Step 6: Final answer
    x = 282,454.60

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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.