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Finding the Fourth Proportional to 496,173.16, 684,426.60 and 312,118.36

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Solution

The fourth proportional to 496,173.16, 684,426.60 and 312,118.36 is: 430,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,173.16 : 684,426.60 = 312,118.36 : x
  2. Step 2: Convert to fraction form
    496,173.16/684,426.60 = 312,118.36/x
  3. Step 3: Cross multiply
    496,173.16x = 684,426.60 × 312,118.36
  4. Step 4: Simplify right side
    496,173.16x = 213,622,107,932.38
  5. Step 5: Solve for x
    x = 213,622,107,932.38/496,173.16
  6. Step 6: Final answer
    x = 430,539.43

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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.