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Finding the Fourth Proportional to 902,444, 1,353,749.60 and 295,235.68

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Solution

The fourth proportional to 902,444, 1,353,749.60 and 295,235.68 is: 442,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,444 : 1,353,749.60 = 295,235.68 : x
  2. Step 2: Convert to fraction form
    902,444/1,353,749.60 = 295,235.68/x
  3. Step 3: Cross multiply
    902,444x = 1,353,749.60 × 295,235.68
  4. Step 4: Simplify right side
    902,444x = 399,675,183,705.73
  5. Step 5: Solve for x
    x = 399,675,183,705.73/902,444
  6. Step 6: Final answer
    x = 442,880.87

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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.