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Finding the Fourth Proportional to 368,060.98, 507,861.97 and 206,894.58

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Solution

The fourth proportional to 368,060.98, 507,861.97 and 206,894.58 is: 285,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,060.98 : 507,861.97 = 206,894.58 : x
  2. Step 2: Convert to fraction form
    368,060.98/507,861.97 = 206,894.58/x
  3. Step 3: Cross multiply
    368,060.98x = 507,861.97 × 206,894.58
  4. Step 4: Simplify right side
    368,060.98x = 105,073,888,981.12
  5. Step 5: Solve for x
    x = 105,073,888,981.12/368,060.98
  6. Step 6: Final answer
    x = 285,479.57

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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.