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Finding the Fourth Proportional to 667,116.83, 920,620.01 and 361,193.18

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Solution

The fourth proportional to 667,116.83, 920,620.01 and 361,193.18 is: 498,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,116.83 : 920,620.01 = 361,193.18 : x
  2. Step 2: Convert to fraction form
    667,116.83/920,620.01 = 361,193.18/x
  3. Step 3: Cross multiply
    667,116.83x = 920,620.01 × 361,193.18
  4. Step 4: Simplify right side
    667,116.83x = 332,521,665,283.42
  5. Step 5: Solve for x
    x = 332,521,665,283.42/667,116.83
  6. Step 6: Final answer
    x = 498,445.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.