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Finding the Fourth Proportional to 315,096.80, 472,645.20 and 275,730.80

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Solution

The fourth proportional to 315,096.80, 472,645.20 and 275,730.80 is: 413,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.80 : 472,645.20 = 275,730.80 : x
  2. Step 2: Convert to fraction form
    315,096.80/472,645.20 = 275,730.80/x
  3. Step 3: Cross multiply
    315,096.80x = 472,645.20 × 275,730.80
  4. Step 4: Simplify right side
    315,096.80x = 130,322,839,112.16
  5. Step 5: Solve for x
    x = 130,322,839,112.16/315,096.80
  6. Step 6: Final answer
    x = 413,596.20

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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.