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Finding the Fourth Proportional to 406,527, 561,007.26 and 227,679

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Solution

The fourth proportional to 406,527, 561,007.26 and 227,679 is: 314,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,527 : 561,007.26 = 227,679 : x
  2. Step 2: Convert to fraction form
    406,527/561,007.26 = 227,679/x
  3. Step 3: Cross multiply
    406,527x = 561,007.26 × 227,679
  4. Step 4: Simplify right side
    406,527x = 127,729,571,949.54
  5. Step 5: Solve for x
    x = 127,729,571,949.54/406,527
  6. Step 6: Final answer
    x = 314,197.02

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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.