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Finding the Fourth Proportional to 511,532.98, 705,906.19 and 282,111.47

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Solution

The fourth proportional to 511,532.98, 705,906.19 and 282,111.47 is: 389,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,532.98 : 705,906.19 = 282,111.47 : x
  2. Step 2: Convert to fraction form
    511,532.98/705,906.19 = 282,111.47/x
  3. Step 3: Cross multiply
    511,532.98x = 705,906.19 × 282,111.47
  4. Step 4: Simplify right side
    511,532.98x = 199,144,231,172.41
  5. Step 5: Solve for x
    x = 199,144,231,172.41/511,532.98
  6. Step 6: Final answer
    x = 389,308.69

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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.