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Finding the Fourth Proportional to 305,216.40, 457,824.60 and 271,390.80

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Solution

The fourth proportional to 305,216.40, 457,824.60 and 271,390.80 is: 407,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,216.40 : 457,824.60 = 271,390.80 : x
  2. Step 2: Convert to fraction form
    305,216.40/457,824.60 = 271,390.80/x
  3. Step 3: Cross multiply
    305,216.40x = 457,824.60 × 271,390.80
  4. Step 4: Simplify right side
    305,216.40x = 124,249,384,453.68
  5. Step 5: Solve for x
    x = 124,249,384,453.68/305,216.40
  6. Step 6: Final answer
    x = 407,086.20

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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.