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Finding the Fourth Proportional to 327,465.90, 490,214.70 and 194,277.60

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Solution

The fourth proportional to 327,465.90, 490,214.70 and 194,277.60 is: 290,832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,465.90 : 490,214.70 = 194,277.60 : x
  2. Step 2: Convert to fraction form
    327,465.90/490,214.70 = 194,277.60/x
  3. Step 3: Cross multiply
    327,465.90x = 490,214.70 × 194,277.60
  4. Step 4: Simplify right side
    327,465.90x = 95,237,735,400.72
  5. Step 5: Solve for x
    x = 95,237,735,400.72/327,465.90
  6. Step 6: Final answer
    x = 290,832.53

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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.