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Finding the Fourth Proportional to 419,226.40, 578,513.37 and 228,239.38

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Solution

The fourth proportional to 419,226.40, 578,513.37 and 228,239.38 is: 314,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,226.40 : 578,513.37 = 228,239.38 : x
  2. Step 2: Convert to fraction form
    419,226.40/578,513.37 = 228,239.38/x
  3. Step 3: Cross multiply
    419,226.40x = 578,513.37 × 228,239.38
  4. Step 4: Simplify right side
    419,226.40x = 132,039,532,890.51
  5. Step 5: Solve for x
    x = 132,039,532,890.51/419,226.40
  6. Step 6: Final answer
    x = 314,959.97

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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.