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Finding the Fourth Proportional to 516,739.62, 712,936.08 and 312,725.31

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Solution

The fourth proportional to 516,739.62, 712,936.08 and 312,725.31 is: 431,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,739.62 : 712,936.08 = 312,725.31 : x
  2. Step 2: Convert to fraction form
    516,739.62/712,936.08 = 312,725.31/x
  3. Step 3: Cross multiply
    516,739.62x = 712,936.08 × 312,725.31
  4. Step 4: Simplify right side
    516,739.62x = 222,953,156,628.19
  5. Step 5: Solve for x
    x = 222,953,156,628.19/516,739.62
  6. Step 6: Final answer
    x = 431,461.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.