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Finding the Fourth Proportional to 494,702.37, 742,162.43 and 281,570.56

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Solution

The fourth proportional to 494,702.37, 742,162.43 and 281,570.56 is: 422,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,702.37 : 742,162.43 = 281,570.56 : x
  2. Step 2: Convert to fraction form
    494,702.37/742,162.43 = 281,570.56/x
  3. Step 3: Cross multiply
    494,702.37x = 742,162.43 × 281,570.56
  4. Step 4: Simplify right side
    494,702.37x = 208,971,089,874.58
  5. Step 5: Solve for x
    x = 208,971,089,874.58/494,702.37
  6. Step 6: Final answer
    x = 422,417.81

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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.