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Finding the Fourth Proportional to 294,816.51, 441,343.40 and 180,604.53

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Solution

The fourth proportional to 294,816.51, 441,343.40 and 180,604.53 is: 270,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,816.51 : 441,343.40 = 180,604.53 : x
  2. Step 2: Convert to fraction form
    294,816.51/441,343.40 = 180,604.53/x
  3. Step 3: Cross multiply
    294,816.51x = 441,343.40 × 180,604.53
  4. Step 4: Simplify right side
    294,816.51x = 79,708,616,422.58
  5. Step 5: Solve for x
    x = 79,708,616,422.58/294,816.51
  6. Step 6: Final answer
    x = 270,366.87

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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.