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Finding the Fourth Proportional to 409,076.20, 613,038.30 and 324,980.20

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Solution

The fourth proportional to 409,076.20, 613,038.30 and 324,980.20 is: 487,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,076.20 : 613,038.30 = 324,980.20 : x
  2. Step 2: Convert to fraction form
    409,076.20/613,038.30 = 324,980.20/x
  3. Step 3: Cross multiply
    409,076.20x = 613,038.30 × 324,980.20
  4. Step 4: Simplify right side
    409,076.20x = 199,225,309,341.66
  5. Step 5: Solve for x
    x = 199,225,309,341.66/409,076.20
  6. Step 6: Final answer
    x = 487,012.71

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1.5x scale

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.