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Finding the Fourth Proportional to 407,542.60, 611,313.90 and 197,201.80

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Solution

The fourth proportional to 407,542.60, 611,313.90 and 197,201.80 is: 295,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,542.60 : 611,313.90 = 197,201.80 : x
  2. Step 2: Convert to fraction form
    407,542.60/611,313.90 = 197,201.80/x
  3. Step 3: Cross multiply
    407,542.60x = 611,313.90 × 197,201.80
  4. Step 4: Simplify right side
    407,542.60x = 120,552,201,445.02
  5. Step 5: Solve for x
    x = 120,552,201,445.02/407,542.60
  6. Step 6: Final answer
    x = 295,802.70

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