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Finding the Fourth Proportional to 294,192.95, 441,289.41 and 205,619.45

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Solution

The fourth proportional to 294,192.95, 441,289.41 and 205,619.45 is: 308,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,192.95 : 441,289.41 = 205,619.45 : x
  2. Step 2: Convert to fraction form
    294,192.95/441,289.41 = 205,619.45/x
  3. Step 3: Cross multiply
    294,192.95x = 441,289.41 × 205,619.45
  4. Step 4: Simplify right side
    294,192.95x = 90,737,683,568.58
  5. Step 5: Solve for x
    x = 90,737,683,568.58/294,192.95
  6. Step 6: Final answer
    x = 308,429.16

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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.