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Finding the Fourth Proportional to 297,722.80, 410,859.44 and 161,756.72

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Solution

The fourth proportional to 297,722.80, 410,859.44 and 161,756.72 is: 223,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,722.80 : 410,859.44 = 161,756.72 : x
  2. Step 2: Convert to fraction form
    297,722.80/410,859.44 = 161,756.72/x
  3. Step 3: Cross multiply
    297,722.80x = 410,859.44 × 161,756.72
  4. Step 4: Simplify right side
    297,722.80x = 66,459,275,395.44
  5. Step 5: Solve for x
    x = 66,459,275,395.44/297,722.80
  6. Step 6: Final answer
    x = 223,225.35

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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.