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Finding the Fourth Proportional to 501,000.21, 691,408.85 and 297,171.81

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Solution

The fourth proportional to 501,000.21, 691,408.85 and 297,171.81 is: 410,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,000.21 : 691,408.85 = 297,171.81 : x
  2. Step 2: Convert to fraction form
    501,000.21/691,408.85 = 297,171.81/x
  3. Step 3: Cross multiply
    501,000.21x = 691,408.85 × 297,171.81
  4. Step 4: Simplify right side
    501,000.21x = 205,467,217,918.66
  5. Step 5: Solve for x
    x = 205,467,217,918.66/501,000.21
  6. Step 6: Final answer
    x = 410,114.04

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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.