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Finding the Fourth Proportional to 490,647.48, 735,731.34 and 202,405.44

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Solution

The fourth proportional to 490,647.48, 735,731.34 and 202,405.44 is: 303,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,647.48 : 735,731.34 = 202,405.44 : x
  2. Step 2: Convert to fraction form
    490,647.48/735,731.34 = 202,405.44/x
  3. Step 3: Cross multiply
    490,647.48x = 735,731.34 × 202,405.44
  4. Step 4: Simplify right side
    490,647.48x = 148,916,020,903.81
  5. Step 5: Solve for x
    x = 148,916,020,903.81/490,647.48
  6. Step 6: Final answer
    x = 303,509.19

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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.