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Finding the Fourth Proportional to 538,559.52, 743,208.03 and 296,842.56

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Solution

The fourth proportional to 538,559.52, 743,208.03 and 296,842.56 is: 409,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,559.52 : 743,208.03 = 296,842.56 : x
  2. Step 2: Convert to fraction form
    538,559.52/743,208.03 = 296,842.56/x
  3. Step 3: Cross multiply
    538,559.52x = 743,208.03 × 296,842.56
  4. Step 4: Simplify right side
    538,559.52x = 220,615,774,237.76
  5. Step 5: Solve for x
    x = 220,615,774,237.76/538,559.52
  6. Step 6: Final answer
    x = 409,640.47

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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.