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Finding the Fourth Proportional to 534,126, 800,566.44 and 297,355.44

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Solution

The fourth proportional to 534,126, 800,566.44 and 297,355.44 is: 445,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,126 : 800,566.44 = 297,355.44 : x
  2. Step 2: Convert to fraction form
    534,126/800,566.44 = 297,355.44/x
  3. Step 3: Cross multiply
    534,126x = 800,566.44 × 297,355.44
  4. Step 4: Simplify right side
    534,126x = 238,052,786,015.43
  5. Step 5: Solve for x
    x = 238,052,786,015.43/534,126
  6. Step 6: Final answer
    x = 445,686.57

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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.