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Finding the Fourth Proportional to 313,798.28, 470,549.58 and 113,977.76

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Solution

The fourth proportional to 313,798.28, 470,549.58 and 113,977.76 is: 170,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,798.28 : 470,549.58 = 113,977.76 : x
  2. Step 2: Convert to fraction form
    313,798.28/470,549.58 = 113,977.76/x
  3. Step 3: Cross multiply
    313,798.28x = 470,549.58 × 113,977.76
  4. Step 4: Simplify right side
    313,798.28x = 53,632,187,097.34
  5. Step 5: Solve for x
    x = 53,632,187,097.34/313,798.28
  6. Step 6: Final answer
    x = 170,912.94

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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.