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Finding the Fourth Proportional to 410,019.20, 615,028.80 and 394,272.80

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Solution

The fourth proportional to 410,019.20, 615,028.80 and 394,272.80 is: 591,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,019.20 : 615,028.80 = 394,272.80 : x
  2. Step 2: Convert to fraction form
    410,019.20/615,028.80 = 394,272.80/x
  3. Step 3: Cross multiply
    410,019.20x = 615,028.80 × 394,272.80
  4. Step 4: Simplify right side
    410,019.20x = 242,489,127,056.64
  5. Step 5: Solve for x
    x = 242,489,127,056.64/410,019.20
  6. Step 6: Final answer
    x = 591,409.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.