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Finding the Fourth Proportional to 393,565.86, 543,024.27 and 230,196.96

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Solution

The fourth proportional to 393,565.86, 543,024.27 and 230,196.96 is: 317,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,565.86 : 543,024.27 = 230,196.96 : x
  2. Step 2: Convert to fraction form
    393,565.86/543,024.27 = 230,196.96/x
  3. Step 3: Cross multiply
    393,565.86x = 543,024.27 × 230,196.96
  4. Step 4: Simplify right side
    393,565.86x = 125,002,536,160.22
  5. Step 5: Solve for x
    x = 125,002,536,160.22/393,565.86
  6. Step 6: Final answer
    x = 317,615.29

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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.