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Finding the Fourth Proportional to 403,648.83, 605,462.16 and 175,944.31

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Solution

The fourth proportional to 403,648.83, 605,462.16 and 175,944.31 is: 263,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,648.83 : 605,462.16 = 175,944.31 : x
  2. Step 2: Convert to fraction form
    403,648.83/605,462.16 = 175,944.31/x
  3. Step 3: Cross multiply
    403,648.83x = 605,462.16 × 175,944.31
  4. Step 4: Simplify right side
    403,648.83x = 106,527,618,945.00
  5. Step 5: Solve for x
    x = 106,527,618,945.00/403,648.83
  6. Step 6: Final answer
    x = 263,911.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.