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Finding the Fourth Proportional to 397,854.72, 596,783.70 and 161,201.88

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Solution

The fourth proportional to 397,854.72, 596,783.70 and 161,201.88 is: 241,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,854.72 : 596,783.70 = 161,201.88 : x
  2. Step 2: Convert to fraction form
    397,854.72/596,783.70 = 161,201.88/x
  3. Step 3: Cross multiply
    397,854.72x = 596,783.70 × 161,201.88
  4. Step 4: Simplify right side
    397,854.72x = 96,202,654,393.36
  5. Step 5: Solve for x
    x = 96,202,654,393.36/397,854.72
  6. Step 6: Final answer
    x = 241,803.48

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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.