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Finding the Fourth Proportional to 433,630.54, 650,442.15 and 338,940.39

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Solution

The fourth proportional to 433,630.54, 650,442.15 and 338,940.39 is: 508,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,630.54 : 650,442.15 = 338,940.39 : x
  2. Step 2: Convert to fraction form
    433,630.54/650,442.15 = 338,940.39/x
  3. Step 3: Cross multiply
    433,630.54x = 650,442.15 × 338,940.39
  4. Step 4: Simplify right side
    433,630.54x = 220,461,115,993.44
  5. Step 5: Solve for x
    x = 220,461,115,993.44/433,630.54
  6. Step 6: Final answer
    x = 508,407.72

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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.