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Finding the Fourth Proportional to 419,718.77, 579,195.06 and 228,728.06

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Solution

The fourth proportional to 419,718.77, 579,195.06 and 228,728.06 is: 315,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,718.77 : 579,195.06 = 228,728.06 : x
  2. Step 2: Convert to fraction form
    419,718.77/579,195.06 = 228,728.06/x
  3. Step 3: Cross multiply
    419,718.77x = 579,195.06 × 228,728.06
  4. Step 4: Simplify right side
    419,718.77x = 132,478,162,435.38
  5. Step 5: Solve for x
    x = 132,478,162,435.38/419,718.77
  6. Step 6: Final answer
    x = 315,635.54

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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.