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Finding the Fourth Proportional to 301,469.36, 452,268.04 and 114,476.72

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Solution

The fourth proportional to 301,469.36, 452,268.04 and 114,476.72 is: 171,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,469.36 : 452,268.04 = 114,476.72 : x
  2. Step 2: Convert to fraction form
    301,469.36/452,268.04 = 114,476.72/x
  3. Step 3: Cross multiply
    301,469.36x = 452,268.04 × 114,476.72
  4. Step 4: Simplify right side
    301,469.36x = 51,774,161,780.03
  5. Step 5: Solve for x
    x = 51,774,161,780.03/301,469.36
  6. Step 6: Final answer
    x = 171,739.38

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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.