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Finding the Fourth Proportional to 321,347.07, 482,022.32 and 96,705.97

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Solution

The fourth proportional to 321,347.07, 482,022.32 and 96,705.97 is: 145,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,347.07 : 482,022.32 = 96,705.97 : x
  2. Step 2: Convert to fraction form
    321,347.07/482,022.32 = 96,705.97/x
  3. Step 3: Cross multiply
    321,347.07x = 482,022.32 × 96,705.97
  4. Step 4: Simplify right side
    321,347.07x = 46,614,436,259.02
  5. Step 5: Solve for x
    x = 46,614,436,259.02/321,347.07
  6. Step 6: Final answer
    x = 145,059.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.