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Finding the Fourth Proportional to 516,202.31, 712,472.96 and 286,838.26

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Solution

The fourth proportional to 516,202.31, 712,472.96 and 286,838.26 is: 395,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,202.31 : 712,472.96 = 286,838.26 : x
  2. Step 2: Convert to fraction form
    516,202.31/712,472.96 = 286,838.26/x
  3. Step 3: Cross multiply
    516,202.31x = 712,472.96 × 286,838.26
  4. Step 4: Simplify right side
    516,202.31x = 204,364,504,143.45
  5. Step 5: Solve for x
    x = 204,364,504,143.45/516,202.31
  6. Step 6: Final answer
    x = 395,900.02

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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.