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Finding the Fourth Proportional to 301,361.63, 453,847.10 and 274,457.48

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Solution

The fourth proportional to 301,361.63, 453,847.10 and 274,457.48 is: 413,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,361.63 : 453,847.10 = 274,457.48 : x
  2. Step 2: Convert to fraction form
    301,361.63/453,847.10 = 274,457.48/x
  3. Step 3: Cross multiply
    301,361.63x = 453,847.10 × 274,457.48
  4. Step 4: Simplify right side
    301,361.63x = 124,561,727,729.79
  5. Step 5: Solve for x
    x = 124,561,727,729.79/301,361.63
  6. Step 6: Final answer
    x = 413,329.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.