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Finding the Fourth Proportional to 419,044.05, 578,283.35 and 228,059.42

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Solution

The fourth proportional to 419,044.05, 578,283.35 and 228,059.42 is: 314,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,044.05 : 578,283.35 = 228,059.42 : x
  2. Step 2: Convert to fraction form
    419,044.05/578,283.35 = 228,059.42/x
  3. Step 3: Cross multiply
    419,044.05x = 578,283.35 × 228,059.42
  4. Step 4: Simplify right side
    419,044.05x = 131,882,961,364.94
  5. Step 5: Solve for x
    x = 131,882,961,364.94/419,044.05
  6. Step 6: Final answer
    x = 314,723.38

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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.