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Finding the Fourth Proportional to 313,820.34, 470,582.28 and 114,001.44

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Solution

The fourth proportional to 313,820.34, 470,582.28 and 114,001.44 is: 170,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820.34 : 470,582.28 = 114,001.44 : x
  2. Step 2: Convert to fraction form
    313,820.34/470,582.28 = 114,001.44/x
  3. Step 3: Cross multiply
    313,820.34x = 470,582.28 × 114,001.44
  4. Step 4: Simplify right side
    313,820.34x = 53,647,057,558.48
  5. Step 5: Solve for x
    x = 53,647,057,558.48/313,820.34
  6. Step 6: Final answer
    x = 170,948.31

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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.