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Finding the Fourth Proportional to 496,012.11, 744,322.74 and 394,207.93

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Solution

The fourth proportional to 496,012.11, 744,322.74 and 394,207.93 is: 591,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,012.11 : 744,322.74 = 394,207.93 : x
  2. Step 2: Convert to fraction form
    496,012.11/744,322.74 = 394,207.93/x
  3. Step 3: Cross multiply
    496,012.11x = 744,322.74 × 394,207.93
  4. Step 4: Simplify right side
    496,012.11x = 293,417,926,039.45
  5. Step 5: Solve for x
    x = 293,417,926,039.45/496,012.11
  6. Step 6: Final answer
    x = 591,553.96

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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.