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Finding the Fourth Proportional to 538,613.74, 743,325.02 and 309,208.38

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Solution

The fourth proportional to 538,613.74, 743,325.02 and 309,208.38 is: 426,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,613.74 : 743,325.02 = 309,208.38 : x
  2. Step 2: Convert to fraction form
    538,613.74/743,325.02 = 309,208.38/x
  3. Step 3: Cross multiply
    538,613.74x = 743,325.02 × 309,208.38
  4. Step 4: Simplify right side
    538,613.74x = 229,842,325,247.67
  5. Step 5: Solve for x
    x = 229,842,325,247.67/538,613.74
  6. Step 6: Final answer
    x = 426,729.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.