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Finding the Fourth Proportional to 406,197, 560,571.12 and 245,048.59

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Solution

The fourth proportional to 406,197, 560,571.12 and 245,048.59 is: 338,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,197 : 560,571.12 = 245,048.59 : x
  2. Step 2: Convert to fraction form
    406,197/560,571.12 = 245,048.59/x
  3. Step 3: Cross multiply
    406,197x = 560,571.12 × 245,048.59
  4. Step 4: Simplify right side
    406,197x = 137,367,163,251.44
  5. Step 5: Solve for x
    x = 137,367,163,251.44/406,197
  6. Step 6: Final answer
    x = 338,178.68

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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.