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Finding the Fourth Proportional to 474,765.12, 655,174.78 and 259,903.31

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Solution

The fourth proportional to 474,765.12, 655,174.78 and 259,903.31 is: 358,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,765.12 : 655,174.78 = 259,903.31 : x
  2. Step 2: Convert to fraction form
    474,765.12/655,174.78 = 259,903.31/x
  3. Step 3: Cross multiply
    474,765.12x = 655,174.78 × 259,903.31
  4. Step 4: Simplify right side
    474,765.12x = 170,282,090,024.89
  5. Step 5: Solve for x
    x = 170,282,090,024.89/474,765.12
  6. Step 6: Final answer
    x = 358,665.97

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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.