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Finding the Fourth Proportional to 361,239, 498,504.16 and 197,894.20

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Solution

The fourth proportional to 361,239, 498,504.16 and 197,894.20 is: 273,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,239 : 498,504.16 = 197,894.20 : x
  2. Step 2: Convert to fraction form
    361,239/498,504.16 = 197,894.20/x
  3. Step 3: Cross multiply
    361,239x = 498,504.16 × 197,894.20
  4. Step 4: Simplify right side
    361,239x = 98,651,081,939.87
  5. Step 5: Solve for x
    x = 98,651,081,939.87/361,239
  6. Step 6: Final answer
    x = 273,090.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.