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Finding the Fourth Proportional to 420,615.58, 580,427.54 and 229,592.06

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Solution

The fourth proportional to 420,615.58, 580,427.54 and 229,592.06 is: 316,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,615.58 : 580,427.54 = 229,592.06 : x
  2. Step 2: Convert to fraction form
    420,615.58/580,427.54 = 229,592.06/x
  3. Step 3: Cross multiply
    420,615.58x = 580,427.54 × 229,592.06
  4. Step 4: Simplify right side
    420,615.58x = 133,261,554,892.44
  5. Step 5: Solve for x
    x = 133,261,554,892.44/420,615.58
  6. Step 6: Final answer
    x = 316,825.06

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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.