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Finding the Fourth Proportional to 307,814.96, 461,759.22 and 291,018.80

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Solution

The fourth proportional to 307,814.96, 461,759.22 and 291,018.80 is: 436,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,814.96 : 461,759.22 = 291,018.80 : x
  2. Step 2: Convert to fraction form
    307,814.96/461,759.22 = 291,018.80/x
  3. Step 3: Cross multiply
    307,814.96x = 461,759.22 × 291,018.80
  4. Step 4: Simplify right side
    307,814.96x = 134,380,614,093.34
  5. Step 5: Solve for x
    x = 134,380,614,093.34/307,814.96
  6. Step 6: Final answer
    x = 436,562.97

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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.