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Finding the Fourth Proportional to 343,198.40, 514,866.24 and 118,567.04

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Solution

The fourth proportional to 343,198.40, 514,866.24 and 118,567.04 is: 177,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,198.40 : 514,866.24 = 118,567.04 : x
  2. Step 2: Convert to fraction form
    343,198.40/514,866.24 = 118,567.04/x
  3. Step 3: Cross multiply
    343,198.40x = 514,866.24 × 118,567.04
  4. Step 4: Simplify right side
    343,198.40x = 61,046,166,072.73
  5. Step 5: Solve for x
    x = 61,046,166,072.73/343,198.40
  6. Step 6: Final answer
    x = 177,874.27

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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.