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Finding the Fourth Proportional to 786,500, 1,179,754.32 and 195,524

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Solution

The fourth proportional to 786,500, 1,179,754.32 and 195,524 is: 293,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,500 : 1,179,754.32 = 195,524 : x
  2. Step 2: Convert to fraction form
    786,500/1,179,754.32 = 195,524/x
  3. Step 3: Cross multiply
    786,500x = 1,179,754.32 × 195,524
  4. Step 4: Simplify right side
    786,500x = 230,670,283,663.68
  5. Step 5: Solve for x
    x = 230,670,283,663.68/786,500
  6. Step 6: Final answer
    x = 293,287.07

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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.