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Finding the Fourth Proportional to 289,108.70, 433,663.05 and 184,003.10

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Solution

The fourth proportional to 289,108.70, 433,663.05 and 184,003.10 is: 276,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,108.70 : 433,663.05 = 184,003.10 : x
  2. Step 2: Convert to fraction form
    289,108.70/433,663.05 = 184,003.10/x
  3. Step 3: Cross multiply
    289,108.70x = 433,663.05 × 184,003.10
  4. Step 4: Simplify right side
    289,108.70x = 79,795,345,555.46
  5. Step 5: Solve for x
    x = 79,795,345,555.46/289,108.70
  6. Step 6: Final answer
    x = 276,004.65

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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.