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Finding the Fourth Proportional to 302,713.25, 417,784.38 and 195,594.80

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Solution

The fourth proportional to 302,713.25, 417,784.38 and 195,594.80 is: 269,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713.25 : 417,784.38 = 195,594.80 : x
  2. Step 2: Convert to fraction form
    302,713.25/417,784.38 = 195,594.80/x
  3. Step 3: Cross multiply
    302,713.25x = 417,784.38 × 195,594.80
  4. Step 4: Simplify right side
    302,713.25x = 81,716,452,249.22
  5. Step 5: Solve for x
    x = 81,716,452,249.22/302,713.25
  6. Step 6: Final answer
    x = 269,946.73

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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.