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Finding the Fourth Proportional to 471,934.41, 707,628.23 and 322,355.45

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Solution

The fourth proportional to 471,934.41, 707,628.23 and 322,355.45 is: 483,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,934.41 : 707,628.23 = 322,355.45 : x
  2. Step 2: Convert to fraction form
    471,934.41/707,628.23 = 322,355.45/x
  3. Step 3: Cross multiply
    471,934.41x = 707,628.23 × 322,355.45
  4. Step 4: Simplify right side
    471,934.41x = 228,107,816,514.35
  5. Step 5: Solve for x
    x = 228,107,816,514.35/471,934.41
  6. Step 6: Final answer
    x = 483,346.44

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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.