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Finding the Fourth Proportional to 497,949.40, 745,873.80 and 338,123.44

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Solution

The fourth proportional to 497,949.40, 745,873.80 and 338,123.44 is: 506,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,949.40 : 745,873.80 = 338,123.44 : x
  2. Step 2: Convert to fraction form
    497,949.40/745,873.80 = 338,123.44/x
  3. Step 3: Cross multiply
    497,949.40x = 745,873.80 × 338,123.44
  4. Step 4: Simplify right side
    497,949.40x = 252,197,415,061.87
  5. Step 5: Solve for x
    x = 252,197,415,061.87/497,949.40
  6. Step 6: Final answer
    x = 506,471.97

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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.