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Finding the Fourth Proportional to 516,406.41, 712,648.25 and 283,854.88

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Solution

The fourth proportional to 516,406.41, 712,648.25 and 283,854.88 is: 391,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,406.41 : 712,648.25 = 283,854.88 : x
  2. Step 2: Convert to fraction form
    516,406.41/712,648.25 = 283,854.88/x
  3. Step 3: Cross multiply
    516,406.41x = 712,648.25 × 283,854.88
  4. Step 4: Simplify right side
    516,406.41x = 202,288,683,485.96
  5. Step 5: Solve for x
    x = 202,288,683,485.96/516,406.41
  6. Step 6: Final answer
    x = 391,723.81

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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.