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Finding the Fourth Proportional to 410,497.20, 615,745.80 and 394,750.80

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Solution

The fourth proportional to 410,497.20, 615,745.80 and 394,750.80 is: 592,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,497.20 : 615,745.80 = 394,750.80 : x
  2. Step 2: Convert to fraction form
    410,497.20/615,745.80 = 394,750.80/x
  3. Step 3: Cross multiply
    410,497.20x = 615,745.80 × 394,750.80
  4. Step 4: Simplify right side
    410,497.20x = 243,066,147,146.64
  5. Step 5: Solve for x
    x = 243,066,147,146.64/410,497.20
  6. Step 6: Final answer
    x = 592,126.20

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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.