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Finding the Fourth Proportional to 614,238.81, 921,489.44 and 214,892.61

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Solution

The fourth proportional to 614,238.81, 921,489.44 and 214,892.61 is: 322,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,238.81 : 921,489.44 = 214,892.61 : x
  2. Step 2: Convert to fraction form
    614,238.81/921,489.44 = 214,892.61/x
  3. Step 3: Cross multiply
    614,238.81x = 921,489.44 × 214,892.61
  4. Step 4: Simplify right side
    614,238.81x = 198,021,269,774.58
  5. Step 5: Solve for x
    x = 198,021,269,774.58/614,238.81
  6. Step 6: Final answer
    x = 322,384.82

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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.