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Finding the Fourth Proportional to 516,051.19, 712,151.36 and 289,698.31

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Solution

The fourth proportional to 516,051.19, 712,151.36 and 289,698.31 is: 399,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,051.19 : 712,151.36 = 289,698.31 : x
  2. Step 2: Convert to fraction form
    516,051.19/712,151.36 = 289,698.31/x
  3. Step 3: Cross multiply
    516,051.19x = 712,151.36 × 289,698.31
  4. Step 4: Simplify right side
    516,051.19x = 206,309,045,456.20
  5. Step 5: Solve for x
    x = 206,309,045,456.20/516,051.19
  6. Step 6: Final answer
    x = 399,784.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.