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Finding the Fourth Proportional to 313,898.46, 470,810.01 and 114,091.31

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Solution

The fourth proportional to 313,898.46, 470,810.01 and 114,091.31 is: 171,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,898.46 : 470,810.01 = 114,091.31 : x
  2. Step 2: Convert to fraction form
    313,898.46/470,810.01 = 114,091.31/x
  3. Step 3: Cross multiply
    313,898.46x = 470,810.01 × 114,091.31
  4. Step 4: Simplify right side
    313,898.46x = 53,715,328,447.96
  5. Step 5: Solve for x
    x = 53,715,328,447.96/313,898.46
  6. Step 6: Final answer
    x = 171,123.26

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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.