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Finding the Fourth Proportional to 305,067.40, 457,730.70 and 147,214.60

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Solution

The fourth proportional to 305,067.40, 457,730.70 and 147,214.60 is: 220,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,067.40 : 457,730.70 = 147,214.60 : x
  2. Step 2: Convert to fraction form
    305,067.40/457,730.70 = 147,214.60/x
  3. Step 3: Cross multiply
    305,067.40x = 457,730.70 × 147,214.60
  4. Step 4: Simplify right side
    305,067.40x = 67,384,641,908.22
  5. Step 5: Solve for x
    x = 67,384,641,908.22/305,067.40
  6. Step 6: Final answer
    x = 220,884.44

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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.