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Finding the Fourth Proportional to 410,941.28, 615,415.46 and 284,225.90

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Solution

The fourth proportional to 410,941.28, 615,415.46 and 284,225.90 is: 425,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,941.28 : 615,415.46 = 284,225.90 : x
  2. Step 2: Convert to fraction form
    410,941.28/615,415.46 = 284,225.90/x
  3. Step 3: Cross multiply
    410,941.28x = 615,415.46 × 284,225.90
  4. Step 4: Simplify right side
    410,941.28x = 174,917,008,494.21
  5. Step 5: Solve for x
    x = 174,917,008,494.21/410,941.28
  6. Step 6: Final answer
    x = 425,649.64

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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.