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Finding the Fourth Proportional to 302,847.75, 417,541.73 and 248,198.74

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Solution

The fourth proportional to 302,847.75, 417,541.73 and 248,198.74 is: 342,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,847.75 : 417,541.73 = 248,198.74 : x
  2. Step 2: Convert to fraction form
    302,847.75/417,541.73 = 248,198.74/x
  3. Step 3: Cross multiply
    302,847.75x = 417,541.73 × 248,198.74
  4. Step 4: Simplify right side
    302,847.75x = 103,633,328,998.57
  5. Step 5: Solve for x
    x = 103,633,328,998.57/302,847.75
  6. Step 6: Final answer
    x = 342,196.13

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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.