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Finding the Fourth Proportional to 406,551.14, 561,040.02 and 225,274.80

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Solution

The fourth proportional to 406,551.14, 561,040.02 and 225,274.80 is: 310,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,551.14 : 561,040.02 = 225,274.80 : x
  2. Step 2: Convert to fraction form
    406,551.14/561,040.02 = 225,274.80/x
  3. Step 3: Cross multiply
    406,551.14x = 561,040.02 × 225,274.80
  4. Step 4: Simplify right side
    406,551.14x = 126,388,178,297.50
  5. Step 5: Solve for x
    x = 126,388,178,297.50/406,551.14
  6. Step 6: Final answer
    x = 310,878.92

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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.