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Finding the Fourth Proportional to 405,839.47, 560,038.03 and 222,074.06

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Solution

The fourth proportional to 405,839.47, 560,038.03 and 222,074.06 is: 306,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,839.47 : 560,038.03 = 222,074.06 : x
  2. Step 2: Convert to fraction form
    405,839.47/560,038.03 = 222,074.06/x
  3. Step 3: Cross multiply
    405,839.47x = 560,038.03 × 222,074.06
  4. Step 4: Simplify right side
    405,839.47x = 124,369,919,076.50
  5. Step 5: Solve for x
    x = 124,369,919,076.50/405,839.47
  6. Step 6: Final answer
    x = 306,451.02

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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.