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Finding the Fourth Proportional to 519,054.26, 715,847.37 and 337,699.94

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Solution

The fourth proportional to 519,054.26, 715,847.37 and 337,699.94 is: 465,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,054.26 : 715,847.37 = 337,699.94 : x
  2. Step 2: Convert to fraction form
    519,054.26/715,847.37 = 337,699.94/x
  3. Step 3: Cross multiply
    519,054.26x = 715,847.37 × 337,699.94
  4. Step 4: Simplify right side
    519,054.26x = 241,741,613,898.16
  5. Step 5: Solve for x
    x = 241,741,613,898.16/519,054.26
  6. Step 6: Final answer
    x = 465,734.77

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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.