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Finding the Fourth Proportional to 297,514, 446,271 and 75,898

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Solution

The fourth proportional to 297,514, 446,271 and 75,898 is: 113,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,514 : 446,271 = 75,898 : x
  2. Step 2: Convert to fraction form
    297,514/446,271 = 75,898/x
  3. Step 3: Cross multiply
    297,514x = 446,271 × 75,898
  4. Step 4: Simplify right side
    297,514x = 33,871,076,358
  5. Step 5: Solve for x
    x = 33,871,076,358/297,514
  6. Step 6: Final answer
    x = 113,847

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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.