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Finding the Fourth Proportional to 406,812.84, 561,349.80 and 225,523.08

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Solution

The fourth proportional to 406,812.84, 561,349.80 and 225,523.08 is: 311,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,812.84 : 561,349.80 = 225,523.08 : x
  2. Step 2: Convert to fraction form
    406,812.84/561,349.80 = 225,523.08/x
  3. Step 3: Cross multiply
    406,812.84x = 561,349.80 × 225,523.08
  4. Step 4: Simplify right side
    406,812.84x = 126,597,335,853.38
  5. Step 5: Solve for x
    x = 126,597,335,853.38/406,812.84
  6. Step 6: Final answer
    x = 311,193.07

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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.