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Finding the Fourth Proportional to 347,946.21, 480,120.89 and 204,653.97

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Solution

The fourth proportional to 347,946.21, 480,120.89 and 204,653.97 is: 282,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,946.21 : 480,120.89 = 204,653.97 : x
  2. Step 2: Convert to fraction form
    347,946.21/480,120.89 = 204,653.97/x
  3. Step 3: Cross multiply
    347,946.21x = 480,120.89 × 204,653.97
  4. Step 4: Simplify right side
    347,946.21x = 98,258,645,195.16
  5. Step 5: Solve for x
    x = 98,258,645,195.16/347,946.21
  6. Step 6: Final answer
    x = 282,396.08

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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.