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Finding the Fourth Proportional to 298,563.24, 412,017.63 and 162,597.42

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Solution

The fourth proportional to 298,563.24, 412,017.63 and 162,597.42 is: 224,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,563.24 : 412,017.63 = 162,597.42 : x
  2. Step 2: Convert to fraction form
    298,563.24/412,017.63 = 162,597.42/x
  3. Step 3: Cross multiply
    298,563.24x = 412,017.63 × 162,597.42
  4. Step 4: Simplify right side
    298,563.24x = 66,993,003,632.51
  5. Step 5: Solve for x
    x = 66,993,003,632.51/298,563.24
  6. Step 6: Final answer
    x = 224,384.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.