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Finding the Fourth Proportional to 335,474, 462,954.16 and 184,567.76

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Solution

The fourth proportional to 335,474, 462,954.16 and 184,567.76 is: 254,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,474 : 462,954.16 = 184,567.76 : x
  2. Step 2: Convert to fraction form
    335,474/462,954.16 = 184,567.76/x
  3. Step 3: Cross multiply
    335,474x = 462,954.16 × 184,567.76
  4. Step 4: Simplify right side
    335,474x = 85,446,412,293.88
  5. Step 5: Solve for x
    x = 85,446,412,293.88/335,474
  6. Step 6: Final answer
    x = 254,703.53

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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.