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Finding the Fourth Proportional to 404,796.96, 558,617.40 and 223,507.41

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Solution

The fourth proportional to 404,796.96, 558,617.40 and 223,507.41 is: 308,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,796.96 : 558,617.40 = 223,507.41 : x
  2. Step 2: Convert to fraction form
    404,796.96/558,617.40 = 223,507.41/x
  3. Step 3: Cross multiply
    404,796.96x = 558,617.40 × 223,507.41
  4. Step 4: Simplify right side
    404,796.96x = 124,855,128,254.93
  5. Step 5: Solve for x
    x = 124,855,128,254.93/404,796.96
  6. Step 6: Final answer
    x = 308,438.90

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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.