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Finding the Fourth Proportional to 409,671.20, 613,930.80 and 325,575.20

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Solution

The fourth proportional to 409,671.20, 613,930.80 and 325,575.20 is: 487,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,671.20 : 613,930.80 = 325,575.20 : x
  2. Step 2: Convert to fraction form
    409,671.20/613,930.80 = 325,575.20/x
  3. Step 3: Cross multiply
    409,671.20x = 613,930.80 × 325,575.20
  4. Step 4: Simplify right side
    409,671.20x = 199,880,642,996.16
  5. Step 5: Solve for x
    x = 199,880,642,996.16/409,671.20
  6. Step 6: Final answer
    x = 487,905.04

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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.