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Finding the Fourth Proportional to 343,624.44, 474,217.69 and 214,639.28

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Solution

The fourth proportional to 343,624.44, 474,217.69 and 214,639.28 is: 296,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,624.44 : 474,217.69 = 214,639.28 : x
  2. Step 2: Convert to fraction form
    343,624.44/474,217.69 = 214,639.28/x
  3. Step 3: Cross multiply
    343,624.44x = 474,217.69 × 214,639.28
  4. Step 4: Simplify right side
    343,624.44x = 101,785,743,544.86
  5. Step 5: Solve for x
    x = 101,785,743,544.86/343,624.44
  6. Step 6: Final answer
    x = 296,212.18

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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.