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Finding the Fourth Proportional to 383,953.82, 529,852.01 and 211,873.14

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Solution

The fourth proportional to 383,953.82, 529,852.01 and 211,873.14 is: 292,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,953.82 : 529,852.01 = 211,873.14 : x
  2. Step 2: Convert to fraction form
    383,953.82/529,852.01 = 211,873.14/x
  3. Step 3: Cross multiply
    383,953.82x = 529,852.01 × 211,873.14
  4. Step 4: Simplify right side
    383,953.82x = 112,261,410,120.75
  5. Step 5: Solve for x
    x = 112,261,410,120.75/383,953.82
  6. Step 6: Final answer
    x = 292,382.58

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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.