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Finding the Fourth Proportional to 406,224.88, 560,583.47 and 224,932.91

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Solution

The fourth proportional to 406,224.88, 560,583.47 and 224,932.91 is: 310,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,224.88 : 560,583.47 = 224,932.91 : x
  2. Step 2: Convert to fraction form
    406,224.88/560,583.47 = 224,932.91/x
  3. Step 3: Cross multiply
    406,224.88x = 560,583.47 × 224,932.91
  4. Step 4: Simplify right side
    406,224.88x = 126,093,671,695.95
  5. Step 5: Solve for x
    x = 126,093,671,695.95/406,224.88
  6. Step 6: Final answer
    x = 310,403.61

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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.