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Finding the Fourth Proportional to 516,394.60, 712,584.66 and 289,996.36

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Solution

The fourth proportional to 516,394.60, 712,584.66 and 289,996.36 is: 400,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,394.60 : 712,584.66 = 289,996.36 : x
  2. Step 2: Convert to fraction form
    516,394.60/712,584.66 = 289,996.36/x
  3. Step 3: Cross multiply
    516,394.60x = 712,584.66 × 289,996.36
  4. Step 4: Simplify right side
    516,394.60x = 206,646,957,591.84
  5. Step 5: Solve for x
    x = 206,646,957,591.84/516,394.60
  6. Step 6: Final answer
    x = 400,172.58

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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.