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Finding the Fourth Proportional to 347,896.05, 480,088.43 and 204,665.32

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Solution

The fourth proportional to 347,896.05, 480,088.43 and 204,665.32 is: 282,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,896.05 : 480,088.43 = 204,665.32 : x
  2. Step 2: Convert to fraction form
    347,896.05/480,088.43 = 204,665.32/x
  3. Step 3: Cross multiply
    347,896.05x = 480,088.43 × 204,665.32
  4. Step 4: Simplify right side
    347,896.05x = 98,257,452,154.25
  5. Step 5: Solve for x
    x = 98,257,452,154.25/347,896.05
  6. Step 6: Final answer
    x = 282,433.37

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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.