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Finding the Fourth Proportional to 496,511.82, 744,884.37 and 141,530.94

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Solution

The fourth proportional to 496,511.82, 744,884.37 and 141,530.94 is: 212,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,511.82 : 744,884.37 = 141,530.94 : x
  2. Step 2: Convert to fraction form
    496,511.82/744,884.37 = 141,530.94/x
  3. Step 3: Cross multiply
    496,511.82x = 744,884.37 × 141,530.94
  4. Step 4: Simplify right side
    496,511.82x = 105,424,185,077.41
  5. Step 5: Solve for x
    x = 105,424,185,077.41/496,511.82
  6. Step 6: Final answer
    x = 212,329.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.