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Finding the Fourth Proportional to 406,090.37, 560,409.14 and 224,805.33

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Solution

The fourth proportional to 406,090.37, 560,409.14 and 224,805.33 is: 310,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,090.37 : 560,409.14 = 224,805.33 : x
  2. Step 2: Convert to fraction form
    406,090.37/560,409.14 = 224,805.33/x
  3. Step 3: Cross multiply
    406,090.37x = 560,409.14 × 224,805.33
  4. Step 4: Simplify right side
    406,090.37x = 125,982,960,113.20
  5. Step 5: Solve for x
    x = 125,982,960,113.20/406,090.37
  6. Step 6: Final answer
    x = 310,233.80

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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.