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Finding the Fourth Proportional to 584,285, 806,313.36 and 316,013

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Solution

The fourth proportional to 584,285, 806,313.36 and 316,013 is: 436,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,285 : 806,313.36 = 316,013 : x
  2. Step 2: Convert to fraction form
    584,285/806,313.36 = 316,013/x
  3. Step 3: Cross multiply
    584,285x = 806,313.36 × 316,013
  4. Step 4: Simplify right side
    584,285x = 254,805,503,833.68
  5. Step 5: Solve for x
    x = 254,805,503,833.68/584,285
  6. Step 6: Final answer
    x = 436,097.97

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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.