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Finding the Fourth Proportional to 307,014.76, 460,481.82 and 96,653.80

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Solution

The fourth proportional to 307,014.76, 460,481.82 and 96,653.80 is: 144,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,014.76 : 460,481.82 = 96,653.80 : x
  2. Step 2: Convert to fraction form
    307,014.76/460,481.82 = 96,653.80/x
  3. Step 3: Cross multiply
    307,014.76x = 460,481.82 × 96,653.80
  4. Step 4: Simplify right side
    307,014.76x = 44,507,317,733.92
  5. Step 5: Solve for x
    x = 44,507,317,733.92/307,014.76
  6. Step 6: Final answer
    x = 144,968.01

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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.