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Finding the Fourth Proportional to 313,865.28, 470,650.50 and 114,044.76

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Solution

The fourth proportional to 313,865.28, 470,650.50 and 114,044.76 is: 171,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,865.28 : 470,650.50 = 114,044.76 : x
  2. Step 2: Convert to fraction form
    313,865.28/470,650.50 = 114,044.76/x
  3. Step 3: Cross multiply
    313,865.28x = 470,650.50 × 114,044.76
  4. Step 4: Simplify right side
    313,865.28x = 53,675,223,316.38
  5. Step 5: Solve for x
    x = 53,675,223,316.38/313,865.28
  6. Step 6: Final answer
    x = 171,013.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.