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Finding the Fourth Proportional to 310,392.45, 464,798.12 and 204,889.41

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Solution

The fourth proportional to 310,392.45, 464,798.12 and 204,889.41 is: 306,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,392.45 : 464,798.12 = 204,889.41 : x
  2. Step 2: Convert to fraction form
    310,392.45/464,798.12 = 204,889.41/x
  3. Step 3: Cross multiply
    310,392.45x = 464,798.12 × 204,889.41
  4. Step 4: Simplify right side
    310,392.45x = 95,232,211,551.46
  5. Step 5: Solve for x
    x = 95,232,211,551.46/310,392.45
  6. Step 6: Final answer
    x = 306,812.27

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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.