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Finding the Fourth Proportional to 406,827.45, 561,455.01 and 225,596.19

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Solution

The fourth proportional to 406,827.45, 561,455.01 and 225,596.19 is: 311,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,827.45 : 561,455.01 = 225,596.19 : x
  2. Step 2: Convert to fraction form
    406,827.45/561,455.01 = 225,596.19/x
  3. Step 3: Cross multiply
    406,827.45x = 561,455.01 × 225,596.19
  4. Step 4: Simplify right side
    406,827.45x = 126,662,111,112.41
  5. Step 5: Solve for x
    x = 126,662,111,112.41/406,827.45
  6. Step 6: Final answer
    x = 311,341.11

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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.