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Finding the Fourth Proportional to 354,202.84, 488,795.62 and 193,057.40

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Solution

The fourth proportional to 354,202.84, 488,795.62 and 193,057.40 is: 266,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,202.84 : 488,795.62 = 193,057.40 : x
  2. Step 2: Convert to fraction form
    354,202.84/488,795.62 = 193,057.40/x
  3. Step 3: Cross multiply
    354,202.84x = 488,795.62 × 193,057.40
  4. Step 4: Simplify right side
    354,202.84x = 94,365,611,528.59
  5. Step 5: Solve for x
    x = 94,365,611,528.59/354,202.84
  6. Step 6: Final answer
    x = 266,416.87

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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.