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Finding the Fourth Proportional to 420,607.72, 580,447.42 and 229,629.16

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Solution

The fourth proportional to 420,607.72, 580,447.42 and 229,629.16 is: 316,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,607.72 : 580,447.42 = 229,629.16 : x
  2. Step 2: Convert to fraction form
    420,607.72/580,447.42 = 229,629.16/x
  3. Step 3: Cross multiply
    420,607.72x = 580,447.42 × 229,629.16
  4. Step 4: Simplify right side
    420,607.72x = 133,287,653,478.77
  5. Step 5: Solve for x
    x = 133,287,653,478.77/420,607.72
  6. Step 6: Final answer
    x = 316,893.03

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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.