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Finding the Fourth Proportional to 256,565.40, 384,410.70 and 211,950.60

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Solution

The fourth proportional to 256,565.40, 384,410.70 and 211,950.60 is: 317,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,565.40 : 384,410.70 = 211,950.60 : x
  2. Step 2: Convert to fraction form
    256,565.40/384,410.70 = 211,950.60/x
  3. Step 3: Cross multiply
    256,565.40x = 384,410.70 × 211,950.60
  4. Step 4: Simplify right side
    256,565.40x = 81,476,078,511.42
  5. Step 5: Solve for x
    x = 81,476,078,511.42/256,565.40
  6. Step 6: Final answer
    x = 317,564.56

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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.