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Finding the Fourth Proportional to 297,713.80, 446,570.70 and 179,615.80

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Solution

The fourth proportional to 297,713.80, 446,570.70 and 179,615.80 is: 269,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.80 : 446,570.70 = 179,615.80 : x
  2. Step 2: Convert to fraction form
    297,713.80/446,570.70 = 179,615.80/x
  3. Step 3: Cross multiply
    297,713.80x = 446,570.70 × 179,615.80
  4. Step 4: Simplify right side
    297,713.80x = 80,211,153,537.06
  5. Step 5: Solve for x
    x = 80,211,153,537.06/297,713.80
  6. Step 6: Final answer
    x = 269,423.70

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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.