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Finding the Fourth Proportional to 302,659.46, 417,570.07 and 195,300.84

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Solution

The fourth proportional to 302,659.46, 417,570.07 and 195,300.84 is: 269,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,659.46 : 417,570.07 = 195,300.84 : x
  2. Step 2: Convert to fraction form
    302,659.46/417,570.07 = 195,300.84/x
  3. Step 3: Cross multiply
    302,659.46x = 417,570.07 × 195,300.84
  4. Step 4: Simplify right side
    302,659.46x = 81,551,785,429.86
  5. Step 5: Solve for x
    x = 81,551,785,429.86/302,659.46
  6. Step 6: Final answer
    x = 269,450.64

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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.