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Finding the Fourth Proportional to 405,726.89, 559,892.99 and 224,448.89

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Solution

The fourth proportional to 405,726.89, 559,892.99 and 224,448.89 is: 309,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,726.89 : 559,892.99 = 224,448.89 : x
  2. Step 2: Convert to fraction form
    405,726.89/559,892.99 = 224,448.89/x
  3. Step 3: Cross multiply
    405,726.89x = 559,892.99 × 224,448.89
  4. Step 4: Simplify right side
    405,726.89x = 125,667,357,885.94
  5. Step 5: Solve for x
    x = 125,667,357,885.94/405,726.89
  6. Step 6: Final answer
    x = 309,733.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.