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Finding the Fourth Proportional to 309,297.76, 463,614.94 and 202,641.42

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Solution

The fourth proportional to 309,297.76, 463,614.94 and 202,641.42 is: 303,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,297.76 : 463,614.94 = 202,641.42 : x
  2. Step 2: Convert to fraction form
    309,297.76/463,614.94 = 202,641.42/x
  3. Step 3: Cross multiply
    309,297.76x = 463,614.94 × 202,641.42
  4. Step 4: Simplify right side
    309,297.76x = 93,947,589,774.81
  5. Step 5: Solve for x
    x = 93,947,589,774.81/309,297.76
  6. Step 6: Final answer
    x = 303,744.81

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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.