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Finding the Fourth Proportional to 523,318.86, 721,991.06 and 296,833.14

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Solution

The fourth proportional to 523,318.86, 721,991.06 and 296,833.14 is: 409,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,318.86 : 721,991.06 = 296,833.14 : x
  2. Step 2: Convert to fraction form
    523,318.86/721,991.06 = 296,833.14/x
  3. Step 3: Cross multiply
    523,318.86x = 721,991.06 × 296,833.14
  4. Step 4: Simplify right side
    523,318.86x = 214,310,873,391.73
  5. Step 5: Solve for x
    x = 214,310,873,391.73/523,318.86
  6. Step 6: Final answer
    x = 409,522.55

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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.