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Finding the Fourth Proportional to 516,051.44, 712,151.70 and 289,698.56

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Solution

The fourth proportional to 516,051.44, 712,151.70 and 289,698.56 is: 399,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,051.44 : 712,151.70 = 289,698.56 : x
  2. Step 2: Convert to fraction form
    516,051.44/712,151.70 = 289,698.56/x
  3. Step 3: Cross multiply
    516,051.44x = 712,151.70 × 289,698.56
  4. Step 4: Simplify right side
    516,051.44x = 206,309,321,991.55
  5. Step 5: Solve for x
    x = 206,309,321,991.55/516,051.44
  6. Step 6: Final answer
    x = 399,784.41

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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.