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Finding the Fourth Proportional to 516,336.75, 712,611.54 and 289,982.25

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Solution

The fourth proportional to 516,336.75, 712,611.54 and 289,982.25 is: 400,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,336.75 : 712,611.54 = 289,982.25 : x
  2. Step 2: Convert to fraction form
    516,336.75/712,611.54 = 289,982.25/x
  3. Step 3: Cross multiply
    516,336.75x = 712,611.54 × 289,982.25
  4. Step 4: Simplify right side
    516,336.75x = 206,644,697,745.17
  5. Step 5: Solve for x
    x = 206,644,697,745.17/516,336.75
  6. Step 6: Final answer
    x = 400,213.03

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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.