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Finding the Fourth Proportional to 410,037.20, 615,055.80 and 394,290.80

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Solution

The fourth proportional to 410,037.20, 615,055.80 and 394,290.80 is: 591,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,037.20 : 615,055.80 = 394,290.80 : x
  2. Step 2: Convert to fraction form
    410,037.20/615,055.80 = 394,290.80/x
  3. Step 3: Cross multiply
    410,037.20x = 615,055.80 × 394,290.80
  4. Step 4: Simplify right side
    410,037.20x = 242,510,843,426.64
  5. Step 5: Solve for x
    x = 242,510,843,426.64/410,037.20
  6. Step 6: Final answer
    x = 591,436.20

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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.