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Finding the Fourth Proportional to 560,198.40, 773,050.36 and 305,534.40

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Solution

The fourth proportional to 560,198.40, 773,050.36 and 305,534.40 is: 421,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,198.40 : 773,050.36 = 305,534.40 : x
  2. Step 2: Convert to fraction form
    560,198.40/773,050.36 = 305,534.40/x
  3. Step 3: Cross multiply
    560,198.40x = 773,050.36 × 305,534.40
  4. Step 4: Simplify right side
    560,198.40x = 236,193,477,912.38
  5. Step 5: Solve for x
    x = 236,193,477,912.38/560,198.40
  6. Step 6: Final answer
    x = 421,624.69

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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.