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Finding the Fourth Proportional to 389,281.14, 537,209.82 and 228,137.31

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Solution

The fourth proportional to 389,281.14, 537,209.82 and 228,137.31 is: 314,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,281.14 : 537,209.82 = 228,137.31 : x
  2. Step 2: Convert to fraction form
    389,281.14/537,209.82 = 228,137.31/x
  3. Step 3: Cross multiply
    389,281.14x = 537,209.82 × 228,137.31
  4. Step 4: Simplify right side
    389,281.14x = 122,557,603,240.38
  5. Step 5: Solve for x
    x = 122,557,603,240.38/389,281.14
  6. Step 6: Final answer
    x = 314,830.57

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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.