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Finding the Fourth Proportional to 538,241.44, 742,877.49 and 308,934.49

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Solution

The fourth proportional to 538,241.44, 742,877.49 and 308,934.49 is: 426,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,241.44 : 742,877.49 = 308,934.49 : x
  2. Step 2: Convert to fraction form
    538,241.44/742,877.49 = 308,934.49/x
  3. Step 3: Cross multiply
    538,241.44x = 742,877.49 × 308,934.49
  4. Step 4: Simplify right side
    538,241.44x = 229,500,478,505.63
  5. Step 5: Solve for x
    x = 229,500,478,505.63/538,241.44
  6. Step 6: Final answer
    x = 426,389.46

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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.