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Finding the Fourth Proportional to 512,333.84, 768,484.36 and 231,851.08

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Solution

The fourth proportional to 512,333.84, 768,484.36 and 231,851.08 is: 347,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,333.84 : 768,484.36 = 231,851.08 : x
  2. Step 2: Convert to fraction form
    512,333.84/768,484.36 = 231,851.08/x
  3. Step 3: Cross multiply
    512,333.84x = 768,484.36 × 231,851.08
  4. Step 4: Simplify right side
    512,333.84x = 178,173,928,829.11
  5. Step 5: Solve for x
    x = 178,173,928,829.11/512,333.84
  6. Step 6: Final answer
    x = 347,769.20

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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.