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Finding the Fourth Proportional to 307,015.76, 460,483.32 and 96,654.80

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Solution

The fourth proportional to 307,015.76, 460,483.32 and 96,654.80 is: 144,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,015.76 : 460,483.32 = 96,654.80 : x
  2. Step 2: Convert to fraction form
    307,015.76/460,483.32 = 96,654.80/x
  3. Step 3: Cross multiply
    307,015.76x = 460,483.32 × 96,654.80
  4. Step 4: Simplify right side
    307,015.76x = 44,507,923,197.94
  5. Step 5: Solve for x
    x = 44,507,923,197.94/307,015.76
  6. Step 6: Final answer
    x = 144,969.51

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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.