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Finding the Fourth Proportional to 333,058.80, 499,661.10 and 164,659.80

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Solution

The fourth proportional to 333,058.80, 499,661.10 and 164,659.80 is: 247,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,058.80 : 499,661.10 = 164,659.80 : x
  2. Step 2: Convert to fraction form
    333,058.80/499,661.10 = 164,659.80/x
  3. Step 3: Cross multiply
    333,058.80x = 499,661.10 × 164,659.80
  4. Step 4: Simplify right side
    333,058.80x = 82,274,096,793.78
  5. Step 5: Solve for x
    x = 82,274,096,793.78/333,058.80
  6. Step 6: Final answer
    x = 247,025.74

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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.