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Finding the Fourth Proportional to 340,361.46, 469,742.85 and 195,223.86

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Solution

The fourth proportional to 340,361.46, 469,742.85 and 195,223.86 is: 269,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,361.46 : 469,742.85 = 195,223.86 : x
  2. Step 2: Convert to fraction form
    340,361.46/469,742.85 = 195,223.86/x
  3. Step 3: Cross multiply
    340,361.46x = 469,742.85 × 195,223.86
  4. Step 4: Simplify right side
    340,361.46x = 91,705,012,384.40
  5. Step 5: Solve for x
    x = 91,705,012,384.40/340,361.46
  6. Step 6: Final answer
    x = 269,434.18

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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.