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Finding the Fourth Proportional to 538,231.50, 742,793.49 and 296,514.54

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Solution

The fourth proportional to 538,231.50, 742,793.49 and 296,514.54 is: 409,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,231.50 : 742,793.49 = 296,514.54 : x
  2. Step 2: Convert to fraction form
    538,231.50/742,793.49 = 296,514.54/x
  3. Step 3: Cross multiply
    538,231.50x = 742,793.49 × 296,514.54
  4. Step 4: Simplify right side
    538,231.50x = 220,249,070,002.35
  5. Step 5: Solve for x
    x = 220,249,070,002.35/538,231.50
  6. Step 6: Final answer
    x = 409,208.81

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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.