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Finding the Fourth Proportional to 327,172.60, 490,904.70 and 149,588.20

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Solution

The fourth proportional to 327,172.60, 490,904.70 and 149,588.20 is: 224,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,172.60 : 490,904.70 = 149,588.20 : x
  2. Step 2: Convert to fraction form
    327,172.60/490,904.70 = 149,588.20/x
  3. Step 3: Cross multiply
    327,172.60x = 490,904.70 × 149,588.20
  4. Step 4: Simplify right side
    327,172.60x = 73,433,550,444.54
  5. Step 5: Solve for x
    x = 73,433,550,444.54/327,172.60
  6. Step 6: Final answer
    x = 224,448.96

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1.5x scale

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.