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Finding the Fourth Proportional to 497,942.40, 745,863.30 and 338,116.44

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Solution

The fourth proportional to 497,942.40, 745,863.30 and 338,116.44 is: 506,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,942.40 : 745,863.30 = 338,116.44 : x
  2. Step 2: Convert to fraction form
    497,942.40/745,863.30 = 338,116.44/x
  3. Step 3: Cross multiply
    497,942.40x = 745,863.30 × 338,116.44
  4. Step 4: Simplify right side
    497,942.40x = 252,188,643,722.65
  5. Step 5: Solve for x
    x = 252,188,643,722.65/497,942.40
  6. Step 6: Final answer
    x = 506,461.48

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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.