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Finding the Fourth Proportional to 405,476.83, 559,554.33 and 224,193.43

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Solution

The fourth proportional to 405,476.83, 559,554.33 and 224,193.43 is: 309,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,476.83 : 559,554.33 = 224,193.43 : x
  2. Step 2: Convert to fraction form
    405,476.83/559,554.33 = 224,193.43/x
  3. Step 3: Cross multiply
    405,476.83x = 559,554.33 × 224,193.43
  4. Step 4: Simplify right side
    405,476.83x = 125,448,404,514.05
  5. Step 5: Solve for x
    x = 125,448,404,514.05/405,476.83
  6. Step 6: Final answer
    x = 309,384.89

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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.