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Finding the Fourth Proportional to 509,151.44, 702,550.87 and 294,250.00

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Solution

The fourth proportional to 509,151.44, 702,550.87 and 294,250.00 is: 406,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,151.44 : 702,550.87 = 294,250.00 : x
  2. Step 2: Convert to fraction form
    509,151.44/702,550.87 = 294,250.00/x
  3. Step 3: Cross multiply
    509,151.44x = 702,550.87 × 294,250.00
  4. Step 4: Simplify right side
    509,151.44x = 206,725,589,984.75
  5. Step 5: Solve for x
    x = 206,725,589,984.75/509,151.44
  6. Step 6: Final answer
    x = 406,019.85

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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.