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Finding the Fourth Proportional to 590,349, 814,744.36 and 361,040.44

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Solution

The fourth proportional to 590,349, 814,744.36 and 361,040.44 is: 498,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,349 : 814,744.36 = 361,040.44 : x
  2. Step 2: Convert to fraction form
    590,349/814,744.36 = 361,040.44/x
  3. Step 3: Cross multiply
    590,349x = 814,744.36 × 361,040.44
  4. Step 4: Simplify right side
    590,349x = 294,155,662,221.92
  5. Step 5: Solve for x
    x = 294,155,662,221.92/590,349
  6. Step 6: Final answer
    x = 498,274.18

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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.