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Finding the Fourth Proportional to 313,929.20, 470,279.40 and 188,898.80

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Solution

The fourth proportional to 313,929.20, 470,279.40 and 188,898.80 is: 282,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.20 : 470,279.40 = 188,898.80 : x
  2. Step 2: Convert to fraction form
    313,929.20/470,279.40 = 188,898.80/x
  3. Step 3: Cross multiply
    313,929.20x = 470,279.40 × 188,898.80
  4. Step 4: Simplify right side
    313,929.20x = 88,835,214,324.72
  5. Step 5: Solve for x
    x = 88,835,214,324.72/313,929.20
  6. Step 6: Final answer
    x = 282,978.50

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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.