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Finding the Fourth Proportional to 523,698.75, 785,593.69 and 144,619.97

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Solution

The fourth proportional to 523,698.75, 785,593.69 and 144,619.97 is: 216,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,698.75 : 785,593.69 = 144,619.97 : x
  2. Step 2: Convert to fraction form
    523,698.75/785,593.69 = 144,619.97/x
  3. Step 3: Cross multiply
    523,698.75x = 785,593.69 × 144,619.97
  4. Step 4: Simplify right side
    523,698.75x = 113,612,531,590.47
  5. Step 5: Solve for x
    x = 113,612,531,590.47/523,698.75
  6. Step 6: Final answer
    x = 216,942.53

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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.