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Finding the Fourth Proportional to 410,113.46, 561,858.53 and 394,775.78

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Solution

The fourth proportional to 410,113.46, 561,858.53 and 394,775.78 is: 540,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,113.46 : 561,858.53 = 394,775.78 : x
  2. Step 2: Convert to fraction form
    410,113.46/561,858.53 = 394,775.78/x
  3. Step 3: Cross multiply
    410,113.46x = 561,858.53 × 394,775.78
  4. Step 4: Simplify right side
    410,113.46x = 221,808,134,647.23
  5. Step 5: Solve for x
    x = 221,808,134,647.23/410,113.46
  6. Step 6: Final answer
    x = 540,845.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.