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Finding the Fourth Proportional to 412,791.39, 569,814.35 and 276,775.79

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Solution

The fourth proportional to 412,791.39, 569,814.35 and 276,775.79 is: 382,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,791.39 : 569,814.35 = 276,775.79 : x
  2. Step 2: Convert to fraction form
    412,791.39/569,814.35 = 276,775.79/x
  3. Step 3: Cross multiply
    412,791.39x = 569,814.35 × 276,775.79
  4. Step 4: Simplify right side
    412,791.39x = 157,710,812,641.64
  5. Step 5: Solve for x
    x = 157,710,812,641.64/412,791.39
  6. Step 6: Final answer
    x = 382,059.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.