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Finding the Fourth Proportional to 431,039.86, 594,811.61 and 237,409.88

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Solution

The fourth proportional to 431,039.86, 594,811.61 and 237,409.88 is: 327,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,039.86 : 594,811.61 = 237,409.88 : x
  2. Step 2: Convert to fraction form
    431,039.86/594,811.61 = 237,409.88/x
  3. Step 3: Cross multiply
    431,039.86x = 594,811.61 × 237,409.88
  4. Step 4: Simplify right side
    431,039.86x = 141,214,148,791.60
  5. Step 5: Solve for x
    x = 141,214,148,791.60/431,039.86
  6. Step 6: Final answer
    x = 327,612.74

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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.