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Finding the Fourth Proportional to 406,455.51, 560,908.53 and 225,179.22

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Solution

The fourth proportional to 406,455.51, 560,908.53 and 225,179.22 is: 310,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,455.51 : 560,908.53 = 225,179.22 : x
  2. Step 2: Convert to fraction form
    406,455.51/560,908.53 = 225,179.22/x
  3. Step 3: Cross multiply
    406,455.51x = 560,908.53 × 225,179.22
  4. Step 4: Simplify right side
    406,455.51x = 126,304,945,276.75
  5. Step 5: Solve for x
    x = 126,304,945,276.75/406,455.51
  6. Step 6: Final answer
    x = 310,747.28

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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.