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Finding the Fourth Proportional to 283,327.38, 390,993.21 and 162,473.22

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Solution

The fourth proportional to 283,327.38, 390,993.21 and 162,473.22 is: 224,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,327.38 : 390,993.21 = 162,473.22 : x
  2. Step 2: Convert to fraction form
    283,327.38/390,993.21 = 162,473.22/x
  3. Step 3: Cross multiply
    283,327.38x = 390,993.21 × 162,473.22
  4. Step 4: Simplify right side
    283,327.38x = 63,525,925,826.84
  5. Step 5: Solve for x
    x = 63,525,925,826.84/283,327.38
  6. Step 6: Final answer
    x = 224,213.86

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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.