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Finding the Fourth Proportional to 519,883.65, 779,825.48 and 519,883.65

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Solution

The fourth proportional to 519,883.65, 779,825.48 and 519,883.65 is: 779,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,883.65 : 779,825.48 = 519,883.65 : x
  2. Step 2: Convert to fraction form
    519,883.65/779,825.48 = 519,883.65/x
  3. Step 3: Cross multiply
    519,883.65x = 779,825.48 × 519,883.65
  4. Step 4: Simplify right side
    519,883.65x = 405,418,514,305.98
  5. Step 5: Solve for x
    x = 405,418,514,305.98/519,883.65
  6. Step 6: Final answer
    x = 779,825.48

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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.