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Finding the Fourth Proportional to 800,709.84, 1,201,538.52 and 295,623

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Solution

The fourth proportional to 800,709.84, 1,201,538.52 and 295,623 is: 443,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,709.84 : 1,201,538.52 = 295,623 : x
  2. Step 2: Convert to fraction form
    800,709.84/1,201,538.52 = 295,623/x
  3. Step 3: Cross multiply
    800,709.84x = 1,201,538.52 × 295,623
  4. Step 4: Simplify right side
    800,709.84x = 355,202,421,897.96
  5. Step 5: Solve for x
    x = 355,202,421,897.96/800,709.84
  6. Step 6: Final answer
    x = 443,609.41

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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.