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Finding the Fourth Proportional to 309,297.01, 463,613.82 and 202,640.67

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Solution

The fourth proportional to 309,297.01, 463,613.82 and 202,640.67 is: 303,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,297.01 : 463,613.82 = 202,640.67 : x
  2. Step 2: Convert to fraction form
    309,297.01/463,613.82 = 202,640.67/x
  3. Step 3: Cross multiply
    309,297.01x = 463,613.82 × 202,640.67
  4. Step 4: Simplify right side
    309,297.01x = 93,947,015,106.06
  5. Step 5: Solve for x
    x = 93,947,015,106.06/309,297.01
  6. Step 6: Final answer
    x = 303,743.69

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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.