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Finding the Fourth Proportional to 491,029.92, 735,582.96 and 254,528.64

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Solution

The fourth proportional to 491,029.92, 735,582.96 and 254,528.64 is: 381,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,029.92 : 735,582.96 = 254,528.64 : x
  2. Step 2: Convert to fraction form
    491,029.92/735,582.96 = 254,528.64/x
  3. Step 3: Cross multiply
    491,029.92x = 735,582.96 × 254,528.64
  4. Step 4: Simplify right side
    491,029.92x = 187,226,930,415.97
  5. Step 5: Solve for x
    x = 187,226,930,415.97/491,029.92
  6. Step 6: Final answer
    x = 381,294.34

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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.