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Finding the Fourth Proportional to 302,658.46, 417,568.70 and 195,299.84

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Solution

The fourth proportional to 302,658.46, 417,568.70 and 195,299.84 is: 269,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,658.46 : 417,568.70 = 195,299.84 : x
  2. Step 2: Convert to fraction form
    302,658.46/417,568.70 = 195,299.84/x
  3. Step 3: Cross multiply
    302,658.46x = 417,568.70 × 195,299.84
  4. Step 4: Simplify right side
    302,658.46x = 81,551,099,322.51
  5. Step 5: Solve for x
    x = 81,551,099,322.51/302,658.46
  6. Step 6: Final answer
    x = 269,449.27

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1.5x scale

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.