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Finding the Fourth Proportional to 334,535.17, 461,448.57 and 198,472.81

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Solution

The fourth proportional to 334,535.17, 461,448.57 and 198,472.81 is: 273,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,535.17 : 461,448.57 = 198,472.81 : x
  2. Step 2: Convert to fraction form
    334,535.17/461,448.57 = 198,472.81/x
  3. Step 3: Cross multiply
    334,535.17x = 461,448.57 × 198,472.81
  4. Step 4: Simplify right side
    334,535.17x = 91,584,994,358.38
  5. Step 5: Solve for x
    x = 91,584,994,358.38/334,535.17
  6. Step 6: Final answer
    x = 273,767.91

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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.