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Finding the Fourth Proportional to 317,472.40, 476,364.30 and 149,006.44

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Solution

The fourth proportional to 317,472.40, 476,364.30 and 149,006.44 is: 223,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,472.40 : 476,364.30 = 149,006.44 : x
  2. Step 2: Convert to fraction form
    317,472.40/476,364.30 = 149,006.44/x
  3. Step 3: Cross multiply
    317,472.40x = 476,364.30 × 149,006.44
  4. Step 4: Simplify right side
    317,472.40x = 70,981,348,486.09
  5. Step 5: Solve for x
    x = 70,981,348,486.09/317,472.40
  6. Step 6: Final answer
    x = 223,582.74

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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.