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Finding the Fourth Proportional to 590,444, 814,812.72 and 322,172

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Solution

The fourth proportional to 590,444, 814,812.72 and 322,172 is: 444,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,444 : 814,812.72 = 322,172 : x
  2. Step 2: Convert to fraction form
    590,444/814,812.72 = 322,172/x
  3. Step 3: Cross multiply
    590,444x = 814,812.72 × 322,172
  4. Step 4: Simplify right side
    590,444x = 262,509,843,627.84
  5. Step 5: Solve for x
    x = 262,509,843,627.84/590,444
  6. Step 6: Final answer
    x = 444,597.36

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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.