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Finding the Fourth Proportional to 289,321.70, 433,982.55 and 184,216.10

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Solution

The fourth proportional to 289,321.70, 433,982.55 and 184,216.10 is: 276,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,321.70 : 433,982.55 = 184,216.10 : x
  2. Step 2: Convert to fraction form
    289,321.70/433,982.55 = 184,216.10/x
  3. Step 3: Cross multiply
    289,321.70x = 433,982.55 × 184,216.10
  4. Step 4: Simplify right side
    289,321.70x = 79,946,572,829.06
  5. Step 5: Solve for x
    x = 79,946,572,829.06/289,321.70
  6. Step 6: Final answer
    x = 276,324.15

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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.