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Finding the Fourth Proportional to 965,774, 1,446,767.07 and 560,114.01

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Solution

The fourth proportional to 965,774, 1,446,767.07 and 560,114.01 is: 839,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,774 : 1,446,767.07 = 560,114.01 : x
  2. Step 2: Convert to fraction form
    965,774/1,446,767.07 = 560,114.01/x
  3. Step 3: Cross multiply
    965,774x = 1,446,767.07 × 560,114.01
  4. Step 4: Simplify right side
    965,774x = 810,354,505,113.65
  5. Step 5: Solve for x
    x = 810,354,505,113.65/965,774
  6. Step 6: Final answer
    x = 839,072.60

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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.