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Finding the Fourth Proportional to 383,886.45, 529,761.84 and 211,815.15

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Solution

The fourth proportional to 383,886.45, 529,761.84 and 211,815.15 is: 292,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,886.45 : 529,761.84 = 211,815.15 : x
  2. Step 2: Convert to fraction form
    383,886.45/529,761.84 = 211,815.15/x
  3. Step 3: Cross multiply
    383,886.45x = 529,761.84 × 211,815.15
  4. Step 4: Simplify right side
    383,886.45x = 112,211,583,603.88
  5. Step 5: Solve for x
    x = 112,211,583,603.88/383,886.45
  6. Step 6: Final answer
    x = 292,304.10

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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.