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Finding the Fourth Proportional to 827,231.65, 1,159,698.95 and 827,231.65

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Solution

The fourth proportional to 827,231.65, 1,159,698.95 and 827,231.65 is: 1,159,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,231.65 : 1,159,698.95 = 827,231.65 : x
  2. Step 2: Convert to fraction form
    827,231.65/1,159,698.95 = 827,231.65/x
  3. Step 3: Cross multiply
    827,231.65x = 1,159,698.95 × 827,231.65
  4. Step 4: Simplify right side
    827,231.65x = 959,339,675,911.77
  5. Step 5: Solve for x
    x = 959,339,675,911.77/827,231.65
  6. Step 6: Final answer
    x = 1,159,698.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.