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Finding the Fourth Proportional to 347,899.06, 480,092.56 and 204,668.32

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Solution

The fourth proportional to 347,899.06, 480,092.56 and 204,668.32 is: 282,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,899.06 : 480,092.56 = 204,668.32 : x
  2. Step 2: Convert to fraction form
    347,899.06/480,092.56 = 204,668.32/x
  3. Step 3: Cross multiply
    347,899.06x = 480,092.56 × 204,668.32
  4. Step 4: Simplify right side
    347,899.06x = 98,259,737,699.70
  5. Step 5: Solve for x
    x = 98,259,737,699.70/347,899.06
  6. Step 6: Final answer
    x = 282,437.49

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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.