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Finding the Fourth Proportional to 368,064.12, 507,889.74 and 204,694.21

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Solution

The fourth proportional to 368,064.12, 507,889.74 and 204,694.21 is: 282,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,064.12 : 507,889.74 = 204,694.21 : x
  2. Step 2: Convert to fraction form
    368,064.12/507,889.74 = 204,694.21/x
  3. Step 3: Cross multiply
    368,064.12x = 507,889.74 × 204,694.21
  4. Step 4: Simplify right side
    368,064.12x = 103,962,089,096.41
  5. Step 5: Solve for x
    x = 103,962,089,096.41/368,064.12
  6. Step 6: Final answer
    x = 282,456.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.