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Finding the Fourth Proportional to 270,408.31, 373,210.29 and 162,978.46

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Solution

The fourth proportional to 270,408.31, 373,210.29 and 162,978.46 is: 224,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,408.31 : 373,210.29 = 162,978.46 : x
  2. Step 2: Convert to fraction form
    270,408.31/373,210.29 = 162,978.46/x
  3. Step 3: Cross multiply
    270,408.31x = 373,210.29 × 162,978.46
  4. Step 4: Simplify right side
    270,408.31x = 60,825,237,505.46
  5. Step 5: Solve for x
    x = 60,825,237,505.46/270,408.31
  6. Step 6: Final answer
    x = 224,938.50

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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.