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Finding the Fourth Proportional to 412,281.48, 618,213.24 and 146,004.51

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Solution

The fourth proportional to 412,281.48, 618,213.24 and 146,004.51 is: 218,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,281.48 : 618,213.24 = 146,004.51 : x
  2. Step 2: Convert to fraction form
    412,281.48/618,213.24 = 146,004.51/x
  3. Step 3: Cross multiply
    412,281.48x = 618,213.24 × 146,004.51
  4. Step 4: Simplify right side
    412,281.48x = 90,261,921,181.71
  5. Step 5: Solve for x
    x = 90,261,921,181.71/412,281.48
  6. Step 6: Final answer
    x = 218,932.76

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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.