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Finding the Fourth Proportional to 324,590.82, 447,990.95 and 188,703.58

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Solution

The fourth proportional to 324,590.82, 447,990.95 and 188,703.58 is: 260,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,590.82 : 447,990.95 = 188,703.58 : x
  2. Step 2: Convert to fraction form
    324,590.82/447,990.95 = 188,703.58/x
  3. Step 3: Cross multiply
    324,590.82x = 447,990.95 × 188,703.58
  4. Step 4: Simplify right side
    324,590.82x = 84,537,496,249.06
  5. Step 5: Solve for x
    x = 84,537,496,249.06/324,590.82
  6. Step 6: Final answer
    x = 260,443.28

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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.