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Finding the Fourth Proportional to 286,856.76, 395,447.34 and 189,898.14

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Solution

The fourth proportional to 286,856.76, 395,447.34 and 189,898.14 is: 261,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,856.76 : 395,447.34 = 189,898.14 : x
  2. Step 2: Convert to fraction form
    286,856.76/395,447.34 = 189,898.14/x
  3. Step 3: Cross multiply
    286,856.76x = 395,447.34 × 189,898.14
  4. Step 4: Simplify right side
    286,856.76x = 75,094,714,333.95
  5. Step 5: Solve for x
    x = 75,094,714,333.95/286,856.76
  6. Step 6: Final answer
    x = 261,784.71

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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.