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Finding the Fourth Proportional to 516,216.60, 712,355.76 and 286,789.98

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Solution

The fourth proportional to 516,216.60, 712,355.76 and 286,789.98 is: 395,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,216.60 : 712,355.76 = 286,789.98 : x
  2. Step 2: Convert to fraction form
    516,216.60/712,355.76 = 286,789.98/x
  3. Step 3: Cross multiply
    516,216.60x = 712,355.76 × 286,789.98
  4. Step 4: Simplify right side
    516,216.60x = 204,296,494,163.29
  5. Step 5: Solve for x
    x = 204,296,494,163.29/516,216.60
  6. Step 6: Final answer
    x = 395,757.31

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1.5x scale

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.