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Finding the Fourth Proportional to 406,090.75, 560,409.66 and 224,805.70

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Solution

The fourth proportional to 406,090.75, 560,409.66 and 224,805.70 is: 310,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,090.75 : 560,409.66 = 224,805.70 : x
  2. Step 2: Convert to fraction form
    406,090.75/560,409.66 = 224,805.70/x
  3. Step 3: Cross multiply
    406,090.75x = 560,409.66 × 224,805.70
  4. Step 4: Simplify right side
    406,090.75x = 125,983,285,903.06
  5. Step 5: Solve for x
    x = 125,983,285,903.06/406,090.75
  6. Step 6: Final answer
    x = 310,234.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.