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Finding the Fourth Proportional to 702,841.22, 969,916.77 and 380,544.65

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Solution

The fourth proportional to 702,841.22, 969,916.77 and 380,544.65 is: 525,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,841.22 : 969,916.77 = 380,544.65 : x
  2. Step 2: Convert to fraction form
    702,841.22/969,916.77 = 380,544.65/x
  3. Step 3: Cross multiply
    702,841.22x = 969,916.77 × 380,544.65
  4. Step 4: Simplify right side
    702,841.22x = 369,096,632,919.20
  5. Step 5: Solve for x
    x = 369,096,632,919.20/702,841.22
  6. Step 6: Final answer
    x = 525,149.39

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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.