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Finding the Fourth Proportional to 291,812.69, 437,915.93 and 114,297.54

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Solution

The fourth proportional to 291,812.69, 437,915.93 and 114,297.54 is: 171,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,812.69 : 437,915.93 = 114,297.54 : x
  2. Step 2: Convert to fraction form
    291,812.69/437,915.93 = 114,297.54/x
  3. Step 3: Cross multiply
    291,812.69x = 437,915.93 × 114,297.54
  4. Step 4: Simplify right side
    291,812.69x = 50,052,713,525.81
  5. Step 5: Solve for x
    x = 50,052,713,525.81/291,812.69
  6. Step 6: Final answer
    x = 171,523.43

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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.