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Finding the Fourth Proportional to 396,051.80, 594,077.70 and 218,904.80

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Solution

The fourth proportional to 396,051.80, 594,077.70 and 218,904.80 is: 328,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,051.80 : 594,077.70 = 218,904.80 : x
  2. Step 2: Convert to fraction form
    396,051.80/594,077.70 = 218,904.80/x
  3. Step 3: Cross multiply
    396,051.80x = 594,077.70 × 218,904.80
  4. Step 4: Simplify right side
    396,051.80x = 130,046,460,102.96
  5. Step 5: Solve for x
    x = 130,046,460,102.96/396,051.80
  6. Step 6: Final answer
    x = 328,357.20

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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.