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Finding the Fourth Proportional to 496,016.10, 744,328.74 and 394,211.94

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Solution

The fourth proportional to 496,016.10, 744,328.74 and 394,211.94 is: 591,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,016.10 : 744,328.74 = 394,211.94 : x
  2. Step 2: Convert to fraction form
    496,016.10/744,328.74 = 394,211.94/x
  3. Step 3: Cross multiply
    496,016.10x = 744,328.74 × 394,211.94
  4. Step 4: Simplify right side
    496,016.10x = 293,423,276,593.16
  5. Step 5: Solve for x
    x = 293,423,276,593.16/496,016.10
  6. Step 6: Final answer
    x = 591,559.98

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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.