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Finding the Fourth Proportional to 538,558.52, 743,206.65 and 296,841.56

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Solution

The fourth proportional to 538,558.52, 743,206.65 and 296,841.56 is: 409,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,558.52 : 743,206.65 = 296,841.56 : x
  2. Step 2: Convert to fraction form
    538,558.52/743,206.65 = 296,841.56/x
  3. Step 3: Cross multiply
    538,558.52x = 743,206.65 × 296,841.56
  4. Step 4: Simplify right side
    538,558.52x = 220,614,621,388.37
  5. Step 5: Solve for x
    x = 220,614,621,388.37/538,558.52
  6. Step 6: Final answer
    x = 409,639.09

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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.