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Finding the Fourth Proportional to 971,041, 1,456,561.50 and 306,193

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Solution

The fourth proportional to 971,041, 1,456,561.50 and 306,193 is: 459,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,041 : 1,456,561.50 = 306,193 : x
  2. Step 2: Convert to fraction form
    971,041/1,456,561.50 = 306,193/x
  3. Step 3: Cross multiply
    971,041x = 1,456,561.50 × 306,193
  4. Step 4: Simplify right side
    971,041x = 445,988,935,369.50
  5. Step 5: Solve for x
    x = 445,988,935,369.50/971,041
  6. Step 6: Final answer
    x = 459,289.50

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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.