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Finding the Fourth Proportional to 496,287.63, 744,015.11 and 411,811.11

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Solution

The fourth proportional to 496,287.63, 744,015.11 and 411,811.11 is: 617,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,287.63 : 744,015.11 = 411,811.11 : x
  2. Step 2: Convert to fraction form
    496,287.63/744,015.11 = 411,811.11/x
  3. Step 3: Cross multiply
    496,287.63x = 744,015.11 × 411,811.11
  4. Step 4: Simplify right side
    496,287.63x = 306,393,686,246.82
  5. Step 5: Solve for x
    x = 306,393,686,246.82/496,287.63
  6. Step 6: Final answer
    x = 617,371.19

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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.