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Finding the Fourth Proportional to 289,094.77, 433,640.78 and 192,828.50

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Solution

The fourth proportional to 289,094.77, 433,640.78 and 192,828.50 is: 289,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,094.77 : 433,640.78 = 192,828.50 : x
  2. Step 2: Convert to fraction form
    289,094.77/433,640.78 = 192,828.50/x
  3. Step 3: Cross multiply
    289,094.77x = 433,640.78 × 192,828.50
  4. Step 4: Simplify right side
    289,094.77x = 83,618,301,146.23
  5. Step 5: Solve for x
    x = 83,618,301,146.23/289,094.77
  6. Step 6: Final answer
    x = 289,241.83

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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.