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Finding the Fourth Proportional to 273,438.60, 410,400.90 and 160,978.20

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Solution

The fourth proportional to 273,438.60, 410,400.90 and 160,978.20 is: 241,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,438.60 : 410,400.90 = 160,978.20 : x
  2. Step 2: Convert to fraction form
    273,438.60/410,400.90 = 160,978.20/x
  3. Step 3: Cross multiply
    273,438.60x = 410,400.90 × 160,978.20
  4. Step 4: Simplify right side
    273,438.60x = 66,065,598,160.38
  5. Step 5: Solve for x
    x = 66,065,598,160.38/273,438.60
  6. Step 6: Final answer
    x = 241,610.36

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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.