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Finding the Fourth Proportional to 297,988.96, 446,866.80 and 185,504.80

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Solution

The fourth proportional to 297,988.96, 446,866.80 and 185,504.80 is: 278,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,988.96 : 446,866.80 = 185,504.80 : x
  2. Step 2: Convert to fraction form
    297,988.96/446,866.80 = 185,504.80/x
  3. Step 3: Cross multiply
    297,988.96x = 446,866.80 × 185,504.80
  4. Step 4: Simplify right side
    297,988.96x = 82,895,936,360.64
  5. Step 5: Solve for x
    x = 82,895,936,360.64/297,988.96
  6. Step 6: Final answer
    x = 278,184.59

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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.