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Finding the Fourth Proportional to 1,296,582.23, 1,945,162.32 and 398,102.29

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Solution

The fourth proportional to 1,296,582.23, 1,945,162.32 and 398,102.29 is: 597,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,582.23 : 1,945,162.32 = 398,102.29 : x
  2. Step 2: Convert to fraction form
    1,296,582.23/1,945,162.32 = 398,102.29/x
  3. Step 3: Cross multiply
    1,296,582.23x = 1,945,162.32 × 398,102.29
  4. Step 4: Simplify right side
    1,296,582.23x = 774,373,562,297.39
  5. Step 5: Solve for x
    x = 774,373,562,297.39/1,296,582.23
  6. Step 6: Final answer
    x = 597,242.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.