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Finding the Fourth Proportional to 294,175.36, 440,955.84 and 144,208

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Solution

The fourth proportional to 294,175.36, 440,955.84 and 144,208 is: 216,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,175.36 : 440,955.84 = 144,208 : x
  2. Step 2: Convert to fraction form
    294,175.36/440,955.84 = 144,208/x
  3. Step 3: Cross multiply
    294,175.36x = 440,955.84 × 144,208
  4. Step 4: Simplify right side
    294,175.36x = 63,589,359,774.72
  5. Step 5: Solve for x
    x = 63,589,359,774.72/294,175.36
  6. Step 6: Final answer
    x = 216,161.41

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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.