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Finding the Fourth Proportional to 354,144.64, 488,705.34 and 192,996.23

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Solution

The fourth proportional to 354,144.64, 488,705.34 and 192,996.23 is: 266,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,144.64 : 488,705.34 = 192,996.23 : x
  2. Step 2: Convert to fraction form
    354,144.64/488,705.34 = 192,996.23/x
  3. Step 3: Cross multiply
    354,144.64x = 488,705.34 × 192,996.23
  4. Step 4: Simplify right side
    354,144.64x = 94,318,288,200.87
  5. Step 5: Solve for x
    x = 94,318,288,200.87/354,144.64
  6. Step 6: Final answer
    x = 266,327.02

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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.