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Finding the Fourth Proportional to 404,613, 558,365.94 and 225,765

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Solution

The fourth proportional to 404,613, 558,365.94 and 225,765 is: 311,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,613 : 558,365.94 = 225,765 : x
  2. Step 2: Convert to fraction form
    404,613/558,365.94 = 225,765/x
  3. Step 3: Cross multiply
    404,613x = 558,365.94 × 225,765
  4. Step 4: Simplify right side
    404,613x = 126,059,486,444.10
  5. Step 5: Solve for x
    x = 126,059,486,444.10/404,613
  6. Step 6: Final answer
    x = 311,555.70

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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.