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Finding the Fourth Proportional to 302,563.68, 417,353.67 and 186,295.86

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Solution

The fourth proportional to 302,563.68, 417,353.67 and 186,295.86 is: 256,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,563.68 : 417,353.67 = 186,295.86 : x
  2. Step 2: Convert to fraction form
    302,563.68/417,353.67 = 186,295.86/x
  3. Step 3: Cross multiply
    302,563.68x = 417,353.67 × 186,295.86
  4. Step 4: Simplify right side
    302,563.68x = 77,751,260,876.81
  5. Step 5: Solve for x
    x = 77,751,260,876.81/302,563.68
  6. Step 6: Final answer
    x = 256,974.87

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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.