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Finding the Fourth Proportional to 289,230.80, 433,846.20 and 164,814.80

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Solution

The fourth proportional to 289,230.80, 433,846.20 and 164,814.80 is: 247,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,230.80 : 433,846.20 = 164,814.80 : x
  2. Step 2: Convert to fraction form
    289,230.80/433,846.20 = 164,814.80/x
  3. Step 3: Cross multiply
    289,230.80x = 433,846.20 × 164,814.80
  4. Step 4: Simplify right side
    289,230.80x = 71,504,274,683.76
  5. Step 5: Solve for x
    x = 71,504,274,683.76/289,230.80
  6. Step 6: Final answer
    x = 247,222.20

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1.5x scale

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.