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Finding the Fourth Proportional to 296,598.53, 444,918.54 and 119,105.54

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Solution

The fourth proportional to 296,598.53, 444,918.54 and 119,105.54 is: 178,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,598.53 : 444,918.54 = 119,105.54 : x
  2. Step 2: Convert to fraction form
    296,598.53/444,918.54 = 119,105.54/x
  3. Step 3: Cross multiply
    296,598.53x = 444,918.54 × 119,105.54
  4. Step 4: Simplify right side
    296,598.53x = 52,992,260,738.12
  5. Step 5: Solve for x
    x = 52,992,260,738.12/296,598.53
  6. Step 6: Final answer
    x = 178,666.64

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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.