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Finding the Fourth Proportional to 590,293.54, 814,601.28 and 335,644.71

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Solution

The fourth proportional to 590,293.54, 814,601.28 and 335,644.71 is: 463,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,293.54 : 814,601.28 = 335,644.71 : x
  2. Step 2: Convert to fraction form
    590,293.54/814,601.28 = 335,644.71/x
  3. Step 3: Cross multiply
    590,293.54x = 814,601.28 × 335,644.71
  4. Step 4: Simplify right side
    590,293.54x = 273,416,610,391.23
  5. Step 5: Solve for x
    x = 273,416,610,391.23/590,293.54
  6. Step 6: Final answer
    x = 463,187.54

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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.