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Finding the Fourth Proportional to 274,257.64, 411,438.30 and 87,322.60

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Solution

The fourth proportional to 274,257.64, 411,438.30 and 87,322.60 is: 131,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,257.64 : 411,438.30 = 87,322.60 : x
  2. Step 2: Convert to fraction form
    274,257.64/411,438.30 = 87,322.60/x
  3. Step 3: Cross multiply
    274,257.64x = 411,438.30 × 87,322.60
  4. Step 4: Simplify right side
    274,257.64x = 35,927,862,095.58
  5. Step 5: Solve for x
    x = 35,927,862,095.58/274,257.64
  6. Step 6: Final answer
    x = 131,000.41

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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.