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Finding the Fourth Proportional to 469,650.98, 702,874.83 and 298,786.34

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Solution

The fourth proportional to 469,650.98, 702,874.83 and 298,786.34 is: 447,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,650.98 : 702,874.83 = 298,786.34 : x
  2. Step 2: Convert to fraction form
    469,650.98/702,874.83 = 298,786.34/x
  3. Step 3: Cross multiply
    469,650.98x = 702,874.83 × 298,786.34
  4. Step 4: Simplify right side
    469,650.98x = 210,009,397,933.82
  5. Step 5: Solve for x
    x = 210,009,397,933.82/469,650.98
  6. Step 6: Final answer
    x = 447,160.57

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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.