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Finding the Fourth Proportional to 538,472.72, 743,097.26 and 296,764.06

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Solution

The fourth proportional to 538,472.72, 743,097.26 and 296,764.06 is: 409,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,472.72 : 743,097.26 = 296,764.06 : x
  2. Step 2: Convert to fraction form
    538,472.72/743,097.26 = 296,764.06/x
  3. Step 3: Cross multiply
    538,472.72x = 743,097.26 × 296,764.06
  4. Step 4: Simplify right side
    538,472.72x = 220,524,559,852.48
  5. Step 5: Solve for x
    x = 220,524,559,852.48/538,472.72
  6. Step 6: Final answer
    x = 409,537.11

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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.