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Finding the Fourth Proportional to 846,174.64, 1,269,265.92 and 285,214

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Solution

The fourth proportional to 846,174.64, 1,269,265.92 and 285,214 is: 427,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,174.64 : 1,269,265.92 = 285,214 : x
  2. Step 2: Convert to fraction form
    846,174.64/1,269,265.92 = 285,214/x
  3. Step 3: Cross multiply
    846,174.64x = 1,269,265.92 × 285,214
  4. Step 4: Simplify right side
    846,174.64x = 362,012,410,106.88
  5. Step 5: Solve for x
    x = 362,012,410,106.88/846,174.64
  6. Step 6: Final answer
    x = 427,822.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.