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Finding the Fourth Proportional to 354,133.50, 488,704.23 and 195,157.50

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Solution

The fourth proportional to 354,133.50, 488,704.23 and 195,157.50 is: 269,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,133.50 : 488,704.23 = 195,157.50 : x
  2. Step 2: Convert to fraction form
    354,133.50/488,704.23 = 195,157.50/x
  3. Step 3: Cross multiply
    354,133.50x = 488,704.23 × 195,157.50
  4. Step 4: Simplify right side
    354,133.50x = 95,374,295,766.23
  5. Step 5: Solve for x
    x = 95,374,295,766.23/354,133.50
  6. Step 6: Final answer
    x = 269,317.35

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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.