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Finding the Fourth Proportional to 516,058.56, 712,162.46 and 286,615.80

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Solution

The fourth proportional to 516,058.56, 712,162.46 and 286,615.80 is: 395,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,058.56 : 712,162.46 = 286,615.80 : x
  2. Step 2: Convert to fraction form
    516,058.56/712,162.46 = 286,615.80/x
  3. Step 3: Cross multiply
    516,058.56x = 712,162.46 × 286,615.80
  4. Step 4: Simplify right side
    516,058.56x = 204,117,013,202.87
  5. Step 5: Solve for x
    x = 204,117,013,202.87/516,058.56
  6. Step 6: Final answer
    x = 395,530.72

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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.