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Finding the Fourth Proportional to 406,264.77, 560,644.88 and 224,976.48

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Solution

The fourth proportional to 406,264.77, 560,644.88 and 224,976.48 is: 310,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,264.77 : 560,644.88 = 224,976.48 : x
  2. Step 2: Convert to fraction form
    406,264.77/560,644.88 = 224,976.48/x
  3. Step 3: Cross multiply
    406,264.77x = 560,644.88 × 224,976.48
  4. Step 4: Simplify right side
    406,264.77x = 126,131,913,119.27
  5. Step 5: Solve for x
    x = 126,131,913,119.27/406,264.77
  6. Step 6: Final answer
    x = 310,467.27

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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.