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Finding the Fourth Proportional to 307,598.20, 461,470.20 and 157,861.60

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Solution

The fourth proportional to 307,598.20, 461,470.20 and 157,861.60 is: 236,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,598.20 : 461,470.20 = 157,861.60 : x
  2. Step 2: Convert to fraction form
    307,598.20/461,470.20 = 157,861.60/x
  3. Step 3: Cross multiply
    307,598.20x = 461,470.20 × 157,861.60
  4. Step 4: Simplify right side
    307,598.20x = 72,848,424,124.32
  5. Step 5: Solve for x
    x = 72,848,424,124.32/307,598.20
  6. Step 6: Final answer
    x = 236,829.81

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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.