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Finding the Fourth Proportional to 310,328.33, 464,846.65 and 197,449.40

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Solution

The fourth proportional to 310,328.33, 464,846.65 and 197,449.40 is: 295,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,328.33 : 464,846.65 = 197,449.40 : x
  2. Step 2: Convert to fraction form
    310,328.33/464,846.65 = 197,449.40/x
  3. Step 3: Cross multiply
    310,328.33x = 464,846.65 × 197,449.40
  4. Step 4: Simplify right side
    310,328.33x = 91,783,690,188.24
  5. Step 5: Solve for x
    x = 91,783,690,188.24/310,328.33
  6. Step 6: Final answer
    x = 295,763.17

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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.