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Finding the Fourth Proportional to 294,616.40, 441,950.06 and 81,384.24

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Solution

The fourth proportional to 294,616.40, 441,950.06 and 81,384.24 is: 122,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,616.40 : 441,950.06 = 81,384.24 : x
  2. Step 2: Convert to fraction form
    294,616.40/441,950.06 = 81,384.24/x
  3. Step 3: Cross multiply
    294,616.40x = 441,950.06 × 81,384.24
  4. Step 4: Simplify right side
    294,616.40x = 35,967,768,668.07
  5. Step 5: Solve for x
    x = 35,967,768,668.07/294,616.40
  6. Step 6: Final answer
    x = 122,083.39

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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.