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Finding the Fourth Proportional to 405,792.88, 560,006.04 and 222,042.48

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Solution

The fourth proportional to 405,792.88, 560,006.04 and 222,042.48 is: 306,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,792.88 : 560,006.04 = 222,042.48 : x
  2. Step 2: Convert to fraction form
    405,792.88/560,006.04 = 222,042.48/x
  3. Step 3: Cross multiply
    405,792.88x = 560,006.04 × 222,042.48
  4. Step 4: Simplify right side
    405,792.88x = 124,345,129,936.58
  5. Step 5: Solve for x
    x = 124,345,129,936.58/405,792.88
  6. Step 6: Final answer
    x = 306,425.12

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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.