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Finding the Fourth Proportional to 313,879.40, 470,670.70 and 114,060.52

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Solution

The fourth proportional to 313,879.40, 470,670.70 and 114,060.52 is: 171,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,879.40 : 470,670.70 = 114,060.52 : x
  2. Step 2: Convert to fraction form
    313,879.40/470,670.70 = 114,060.52/x
  3. Step 3: Cross multiply
    313,879.40x = 470,670.70 × 114,060.52
  4. Step 4: Simplify right side
    313,879.40x = 53,684,944,790.76
  5. Step 5: Solve for x
    x = 53,684,944,790.76/313,879.40
  6. Step 6: Final answer
    x = 171,036.85

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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.