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Finding the Fourth Proportional to 538,675.68, 743,377.68 and 296,967.36

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Solution

The fourth proportional to 538,675.68, 743,377.68 and 296,967.36 is: 409,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,675.68 : 743,377.68 = 296,967.36 : x
  2. Step 2: Convert to fraction form
    538,675.68/743,377.68 = 296,967.36/x
  3. Step 3: Cross multiply
    538,675.68x = 743,377.68 × 296,967.36
  4. Step 4: Simplify right side
    538,675.68x = 220,758,907,112.53
  5. Step 5: Solve for x
    x = 220,758,907,112.53/538,675.68
  6. Step 6: Final answer
    x = 409,817.85

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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.