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Finding the Fourth Proportional to 419,919.56, 579,132.47 and 354,827.28

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Solution

The fourth proportional to 419,919.56, 579,132.47 and 354,827.28 is: 489,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,919.56 : 579,132.47 = 354,827.28 : x
  2. Step 2: Convert to fraction form
    419,919.56/579,132.47 = 354,827.28/x
  3. Step 3: Cross multiply
    419,919.56x = 579,132.47 × 354,827.28
  4. Step 4: Simplify right side
    419,919.56x = 205,491,999,089.78
  5. Step 5: Solve for x
    x = 205,491,999,089.78/419,919.56
  6. Step 6: Final answer
    x = 489,360.39

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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.