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Finding the Fourth Proportional to 435,697.20, 601,085.80 and 274,267.44

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Solution

The fourth proportional to 435,697.20, 601,085.80 and 274,267.44 is: 378,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,697.20 : 601,085.80 = 274,267.44 : x
  2. Step 2: Convert to fraction form
    435,697.20/601,085.80 = 274,267.44/x
  3. Step 3: Cross multiply
    435,697.20x = 601,085.80 × 274,267.44
  4. Step 4: Simplify right side
    435,697.20x = 164,858,263,586.35
  5. Step 5: Solve for x
    x = 164,858,263,586.35/435,697.20
  6. Step 6: Final answer
    x = 378,378.07

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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.