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Finding the Fourth Proportional to 523,007.69, 784,555.27 and 186,231.56

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Solution

The fourth proportional to 523,007.69, 784,555.27 and 186,231.56 is: 279,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,007.69 : 784,555.27 = 186,231.56 : x
  2. Step 2: Convert to fraction form
    523,007.69/784,555.27 = 186,231.56/x
  3. Step 3: Cross multiply
    523,007.69x = 784,555.27 × 186,231.56
  4. Step 4: Simplify right side
    523,007.69x = 146,108,947,449.97
  5. Step 5: Solve for x
    x = 146,108,947,449.97/523,007.69
  6. Step 6: Final answer
    x = 279,362.91

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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.