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Finding the Fourth Proportional to 419,844.61, 579,391.59 and 228,858

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Solution

The fourth proportional to 419,844.61, 579,391.59 and 228,858 is: 315,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,844.61 : 579,391.59 = 228,858 : x
  2. Step 2: Convert to fraction form
    419,844.61/579,391.59 = 228,858/x
  3. Step 3: Cross multiply
    419,844.61x = 579,391.59 × 228,858
  4. Step 4: Simplify right side
    419,844.61x = 132,598,400,504.22
  5. Step 5: Solve for x
    x = 132,598,400,504.22/419,844.61
  6. Step 6: Final answer
    x = 315,827.33

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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.