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Finding the Fourth Proportional to 538,393.74, 742,948.38 and 296,676.30

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Solution

The fourth proportional to 538,393.74, 742,948.38 and 296,676.30 is: 409,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,393.74 : 742,948.38 = 296,676.30 : x
  2. Step 2: Convert to fraction form
    538,393.74/742,948.38 = 296,676.30/x
  3. Step 3: Cross multiply
    538,393.74x = 742,948.38 × 296,676.30
  4. Step 4: Simplify right side
    538,393.74x = 220,415,179,255.45
  5. Step 5: Solve for x
    x = 220,415,179,255.45/538,393.74
  6. Step 6: Final answer
    x = 409,394.03

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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.