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Finding the Fourth Proportional to 516,077.86, 712,163.22 and 286,650.02

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Solution

The fourth proportional to 516,077.86, 712,163.22 and 286,650.02 is: 395,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,077.86 : 712,163.22 = 286,650.02 : x
  2. Step 2: Convert to fraction form
    516,077.86/712,163.22 = 286,650.02/x
  3. Step 3: Cross multiply
    516,077.86x = 712,163.22 × 286,650.02
  4. Step 4: Simplify right side
    516,077.86x = 204,141,601,256.26
  5. Step 5: Solve for x
    x = 204,141,601,256.26/516,077.86
  6. Step 6: Final answer
    x = 395,563.57

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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.