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Finding the Fourth Proportional to 406,412.52, 560,853.78 and 225,127.24

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Solution

The fourth proportional to 406,412.52, 560,853.78 and 225,127.24 is: 310,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,412.52 : 560,853.78 = 225,127.24 : x
  2. Step 2: Convert to fraction form
    406,412.52/560,853.78 = 225,127.24/x
  3. Step 3: Cross multiply
    406,412.52x = 560,853.78 × 225,127.24
  4. Step 4: Simplify right side
    406,412.52x = 126,263,463,534.97
  5. Step 5: Solve for x
    x = 126,263,463,534.97/406,412.52
  6. Step 6: Final answer
    x = 310,678.09

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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.