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Finding the Fourth Proportional to 335,558.66, 463,043.14 and 197,716.10

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Solution

The fourth proportional to 335,558.66, 463,043.14 and 197,716.10 is: 272,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,558.66 : 463,043.14 = 197,716.10 : x
  2. Step 2: Convert to fraction form
    335,558.66/463,043.14 = 197,716.10/x
  3. Step 3: Cross multiply
    335,558.66x = 463,043.14 × 197,716.10
  4. Step 4: Simplify right side
    335,558.66x = 91,551,080,963.05
  5. Step 5: Solve for x
    x = 91,551,080,963.05/335,558.66
  6. Step 6: Final answer
    x = 272,831.83

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Why These Related Problems?

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