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Finding the Fourth Proportional to 313,380.06, 469,970.37 and 102,969.42

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Solution

The fourth proportional to 313,380.06, 469,970.37 and 102,969.42 is: 154,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,380.06 : 469,970.37 = 102,969.42 : x
  2. Step 2: Convert to fraction form
    313,380.06/469,970.37 = 102,969.42/x
  3. Step 3: Cross multiply
    313,380.06x = 469,970.37 × 102,969.42
  4. Step 4: Simplify right side
    313,380.06x = 48,392,576,416.09
  5. Step 5: Solve for x
    x = 48,392,576,416.09/313,380.06
  6. Step 6: Final answer
    x = 154,421.36

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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.