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Finding the Fourth Proportional to 393,426.12, 543,124.11 and 257,668.10

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Solution

The fourth proportional to 393,426.12, 543,124.11 and 257,668.10 is: 355,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,426.12 : 543,124.11 = 257,668.10 : x
  2. Step 2: Convert to fraction form
    393,426.12/543,124.11 = 257,668.10/x
  3. Step 3: Cross multiply
    393,426.12x = 543,124.11 × 257,668.10
  4. Step 4: Simplify right side
    393,426.12x = 139,945,757,487.89
  5. Step 5: Solve for x
    x = 139,945,757,487.89/393,426.12
  6. Step 6: Final answer
    x = 355,710.39

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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.