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Finding the Fourth Proportional to 492,201.80, 738,648.30 and 211,920.20

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Solution

The fourth proportional to 492,201.80, 738,648.30 and 211,920.20 is: 318,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,201.80 : 738,648.30 = 211,920.20 : x
  2. Step 2: Convert to fraction form
    492,201.80/738,648.30 = 211,920.20/x
  3. Step 3: Cross multiply
    492,201.80x = 738,648.30 × 211,920.20
  4. Step 4: Simplify right side
    492,201.80x = 156,534,495,465.66
  5. Step 5: Solve for x
    x = 156,534,495,465.66/492,201.80
  6. Step 6: Final answer
    x = 318,029.10

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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.