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Finding the Fourth Proportional to 334,681.50, 461,813.99 and 196,866.67

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Solution

The fourth proportional to 334,681.50, 461,813.99 and 196,866.67 is: 271,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,681.50 : 461,813.99 = 196,866.67 : x
  2. Step 2: Convert to fraction form
    334,681.50/461,813.99 = 196,866.67/x
  3. Step 3: Cross multiply
    334,681.50x = 461,813.99 × 196,866.67
  4. Step 4: Simplify right side
    334,681.50x = 90,915,781,708.35
  5. Step 5: Solve for x
    x = 90,915,781,708.35/334,681.50
  6. Step 6: Final answer
    x = 271,648.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.