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Finding the Fourth Proportional to 419,211.38, 578,513.07 and 228,226.14

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Solution

The fourth proportional to 419,211.38, 578,513.07 and 228,226.14 is: 314,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,211.38 : 578,513.07 = 228,226.14 : x
  2. Step 2: Convert to fraction form
    419,211.38/578,513.07 = 228,226.14/x
  3. Step 3: Cross multiply
    419,211.38x = 578,513.07 × 228,226.14
  4. Step 4: Simplify right side
    419,211.38x = 132,031,804,905.65
  5. Step 5: Solve for x
    x = 132,031,804,905.65/419,211.38
  6. Step 6: Final answer
    x = 314,952.82

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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.