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Finding the Fourth Proportional to 971,034, 1,456,551 and 306,186

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Solution

The fourth proportional to 971,034, 1,456,551 and 306,186 is: 459,279

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,034 : 1,456,551 = 306,186 : x
  2. Step 2: Convert to fraction form
    971,034/1,456,551 = 306,186/x
  3. Step 3: Cross multiply
    971,034x = 1,456,551 × 306,186
  4. Step 4: Simplify right side
    971,034x = 445,975,524,486
  5. Step 5: Solve for x
    x = 445,975,524,486/971,034
  6. Step 6: Final answer
    x = 459,279

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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.