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Finding the Fourth Proportional to 419,442.28, 578,827.38 and 228,455.08

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Solution

The fourth proportional to 419,442.28, 578,827.38 and 228,455.08 is: 315,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,442.28 : 578,827.38 = 228,455.08 : x
  2. Step 2: Convert to fraction form
    419,442.28/578,827.38 = 228,455.08/x
  3. Step 3: Cross multiply
    419,442.28x = 578,827.38 × 228,455.08
  4. Step 4: Simplify right side
    419,442.28x = 132,236,055,404.09
  5. Step 5: Solve for x
    x = 132,236,055,404.09/419,442.28
  6. Step 6: Final answer
    x = 315,266.39

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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.