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Finding the Fourth Proportional to 584,202.78, 806,200.47 and 322,558.56

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Solution

The fourth proportional to 584,202.78, 806,200.47 and 322,558.56 is: 445,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,202.78 : 806,200.47 = 322,558.56 : x
  2. Step 2: Convert to fraction form
    584,202.78/806,200.47 = 322,558.56/x
  3. Step 3: Cross multiply
    584,202.78x = 806,200.47 × 322,558.56
  4. Step 4: Simplify right side
    584,202.78x = 260,046,862,674.52
  5. Step 5: Solve for x
    x = 260,046,862,674.52/584,202.78
  6. Step 6: Final answer
    x = 445,131.16

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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.