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Finding the Fourth Proportional to 490,702, 736,052.06 and 153,768.48

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Solution

The fourth proportional to 490,702, 736,052.06 and 153,768.48 is: 230,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,702 : 736,052.06 = 153,768.48 : x
  2. Step 2: Convert to fraction form
    490,702/736,052.06 = 153,768.48/x
  3. Step 3: Cross multiply
    490,702x = 736,052.06 × 153,768.48
  4. Step 4: Simplify right side
    490,702x = 113,181,606,467.07
  5. Step 5: Solve for x
    x = 113,181,606,467.07/490,702
  6. Step 6: Final answer
    x = 230,652.43

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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.