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Finding the Fourth Proportional to 307,584.60, 460,880.10 and 174,067.80

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Solution

The fourth proportional to 307,584.60, 460,880.10 and 174,067.80 is: 260,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,584.60 : 460,880.10 = 174,067.80 : x
  2. Step 2: Convert to fraction form
    307,584.60/460,880.10 = 174,067.80/x
  3. Step 3: Cross multiply
    307,584.60x = 460,880.10 × 174,067.80
  4. Step 4: Simplify right side
    307,584.60x = 80,224,385,070.78
  5. Step 5: Solve for x
    x = 80,224,385,070.78/307,584.60
  6. Step 6: Final answer
    x = 260,820.55

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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.