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Finding the Fourth Proportional to 406,399.98, 560,807.29 and 225,101.33

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Solution

The fourth proportional to 406,399.98, 560,807.29 and 225,101.33 is: 310,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,399.98 : 560,807.29 = 225,101.33 : x
  2. Step 2: Convert to fraction form
    406,399.98/560,807.29 = 225,101.33/x
  3. Step 3: Cross multiply
    406,399.98x = 560,807.29 × 225,101.33
  4. Step 4: Simplify right side
    406,399.98x = 126,238,466,852.70
  5. Step 5: Solve for x
    x = 126,238,466,852.70/406,399.98
  6. Step 6: Final answer
    x = 310,626.16

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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.