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Finding the Fourth Proportional to 381,850.40, 572,559.60 and 145,200.80

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Solution

The fourth proportional to 381,850.40, 572,559.60 and 145,200.80 is: 217,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,850.40 : 572,559.60 = 145,200.80 : x
  2. Step 2: Convert to fraction form
    381,850.40/572,559.60 = 145,200.80/x
  3. Step 3: Cross multiply
    381,850.40x = 572,559.60 × 145,200.80
  4. Step 4: Simplify right side
    381,850.40x = 83,136,111,967.68
  5. Step 5: Solve for x
    x = 83,136,111,967.68/381,850.40
  6. Step 6: Final answer
    x = 217,719.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.