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Finding the Fourth Proportional to 343,502.88, 515,402.64 and 185,842.32

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Solution

The fourth proportional to 343,502.88, 515,402.64 and 185,842.32 is: 278,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,502.88 : 515,402.64 = 185,842.32 : x
  2. Step 2: Convert to fraction form
    343,502.88/515,402.64 = 185,842.32/x
  3. Step 3: Cross multiply
    343,502.88x = 515,402.64 × 185,842.32
  4. Step 4: Simplify right side
    343,502.88x = 95,783,622,351.72
  5. Step 5: Solve for x
    x = 95,783,622,351.72/343,502.88
  6. Step 6: Final answer
    x = 278,843.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.