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Finding the Fourth Proportional to 310,328.52, 464,846.93 and 197,449.58

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Solution

The fourth proportional to 310,328.52, 464,846.93 and 197,449.58 is: 295,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,328.52 : 464,846.93 = 197,449.58 : x
  2. Step 2: Convert to fraction form
    310,328.52/464,846.93 = 197,449.58/x
  3. Step 3: Cross multiply
    310,328.52x = 464,846.93 × 197,449.58
  4. Step 4: Simplify right side
    310,328.52x = 91,783,832,879.68
  5. Step 5: Solve for x
    x = 91,783,832,879.68/310,328.52
  6. Step 6: Final answer
    x = 295,763.45

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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.