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Finding the Fourth Proportional to 397,321.80, 595,982.70 and 184,089.30

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Solution

The fourth proportional to 397,321.80, 595,982.70 and 184,089.30 is: 276,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,321.80 : 595,982.70 = 184,089.30 : x
  2. Step 2: Convert to fraction form
    397,321.80/595,982.70 = 184,089.30/x
  3. Step 3: Cross multiply
    397,321.80x = 595,982.70 × 184,089.30
  4. Step 4: Simplify right side
    397,321.80x = 109,714,038,055.11
  5. Step 5: Solve for x
    x = 109,714,038,055.11/397,321.80
  6. Step 6: Final answer
    x = 276,133.95

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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.