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Finding the Fourth Proportional to 273,021.60, 408,657.60 and 213,535.20

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Solution

The fourth proportional to 273,021.60, 408,657.60 and 213,535.20 is: 319,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,021.60 : 408,657.60 = 213,535.20 : x
  2. Step 2: Convert to fraction form
    273,021.60/408,657.60 = 213,535.20/x
  3. Step 3: Cross multiply
    273,021.60x = 408,657.60 × 213,535.20
  4. Step 4: Simplify right side
    273,021.60x = 87,262,782,347.52
  5. Step 5: Solve for x
    x = 87,262,782,347.52/273,021.60
  6. Step 6: Final answer
    x = 319,618.60

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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.