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Finding the Fourth Proportional to 420,601.66, 580,427.33 and 229,615.05

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Solution

The fourth proportional to 420,601.66, 580,427.33 and 229,615.05 is: 316,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,601.66 : 580,427.33 = 229,615.05 : x
  2. Step 2: Convert to fraction form
    420,601.66/580,427.33 = 229,615.05/x
  3. Step 3: Cross multiply
    420,601.66x = 580,427.33 × 229,615.05
  4. Step 4: Simplify right side
    420,601.66x = 133,274,850,973.35
  5. Step 5: Solve for x
    x = 133,274,850,973.35/420,601.66
  6. Step 6: Final answer
    x = 316,867.16

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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.