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Finding the Fourth Proportional to 512,204.40, 766,751.40 and 456,217.20

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Solution

The fourth proportional to 512,204.40, 766,751.40 and 456,217.20 is: 682,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,204.40 : 766,751.40 = 456,217.20 : x
  2. Step 2: Convert to fraction form
    512,204.40/766,751.40 = 456,217.20/x
  3. Step 3: Cross multiply
    512,204.40x = 766,751.40 × 456,217.20
  4. Step 4: Simplify right side
    512,204.40x = 349,805,176,804.08
  5. Step 5: Solve for x
    x = 349,805,176,804.08/512,204.40
  6. Step 6: Final answer
    x = 682,940.59

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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.