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Finding the Fourth Proportional to 354,134.84, 488,706.20 and 192,989.96

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Solution

The fourth proportional to 354,134.84, 488,706.20 and 192,989.96 is: 266,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,134.84 : 488,706.20 = 192,989.96 : x
  2. Step 2: Convert to fraction form
    354,134.84/488,706.20 = 192,989.96/x
  3. Step 3: Cross multiply
    354,134.84x = 488,706.20 × 192,989.96
  4. Step 4: Simplify right side
    354,134.84x = 94,315,389,989.75
  5. Step 5: Solve for x
    x = 94,315,389,989.75/354,134.84
  6. Step 6: Final answer
    x = 266,326.21

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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.