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Finding the Fourth Proportional to 397,311.30, 595,966.95 and 184,078.80

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Solution

The fourth proportional to 397,311.30, 595,966.95 and 184,078.80 is: 276,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,311.30 : 595,966.95 = 184,078.80 : x
  2. Step 2: Convert to fraction form
    397,311.30/595,966.95 = 184,078.80/x
  3. Step 3: Cross multiply
    397,311.30x = 595,966.95 × 184,078.80
  4. Step 4: Simplify right side
    397,311.30x = 109,704,880,995.66
  5. Step 5: Solve for x
    x = 109,704,880,995.66/397,311.30
  6. Step 6: Final answer
    x = 276,118.20

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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.