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Finding the Fourth Proportional to 454,590.33, 681,811.79 and 214,703.97

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Solution

The fourth proportional to 454,590.33, 681,811.79 and 214,703.97 is: 322,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,590.33 : 681,811.79 = 214,703.97 : x
  2. Step 2: Convert to fraction form
    454,590.33/681,811.79 = 214,703.97/x
  3. Step 3: Cross multiply
    454,590.33x = 681,811.79 × 214,703.97
  4. Step 4: Simplify right side
    454,590.33x = 146,387,697,032.29
  5. Step 5: Solve for x
    x = 146,387,697,032.29/454,590.33
  6. Step 6: Final answer
    x = 322,021.14

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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.