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Finding the Fourth Proportional to 297,638.45, 410,744.80 and 161,674.67

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Solution

The fourth proportional to 297,638.45, 410,744.80 and 161,674.67 is: 223,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,638.45 : 410,744.80 = 161,674.67 : x
  2. Step 2: Convert to fraction form
    297,638.45/410,744.80 = 161,674.67/x
  3. Step 3: Cross multiply
    297,638.45x = 410,744.80 × 161,674.67
  4. Step 4: Simplify right side
    297,638.45x = 66,407,029,994.22
  5. Step 5: Solve for x
    x = 66,407,029,994.22/297,638.45
  6. Step 6: Final answer
    x = 223,113.08

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1.5x scale

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.