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Finding the Fourth Proportional to 342,450.48, 513,763.35 and 200,415.36

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Solution

The fourth proportional to 342,450.48, 513,763.35 and 200,415.36 is: 300,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,450.48 : 513,763.35 = 200,415.36 : x
  2. Step 2: Convert to fraction form
    342,450.48/513,763.35 = 200,415.36/x
  3. Step 3: Cross multiply
    342,450.48x = 513,763.35 × 200,415.36
  4. Step 4: Simplify right side
    342,450.48x = 102,966,066,745.06
  5. Step 5: Solve for x
    x = 102,966,066,745.06/342,450.48
  6. Step 6: Final answer
    x = 300,674.32

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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.