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Finding the Fourth Proportional to 413,401, 570,458.46 and 250,118.34

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Solution

The fourth proportional to 413,401, 570,458.46 and 250,118.34 is: 345,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,401 : 570,458.46 = 250,118.34 : x
  2. Step 2: Convert to fraction form
    413,401/570,458.46 = 250,118.34/x
  3. Step 3: Cross multiply
    413,401x = 570,458.46 × 250,118.34
  4. Step 4: Simplify right side
    413,401x = 142,682,123,054.16
  5. Step 5: Solve for x
    x = 142,682,123,054.16/413,401
  6. Step 6: Final answer
    x = 345,142.18

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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.