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Finding the Fourth Proportional to 420,460, 580,247.04 and 229,485.60

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Solution

The fourth proportional to 420,460, 580,247.04 and 229,485.60 is: 316,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,460 : 580,247.04 = 229,485.60 : x
  2. Step 2: Convert to fraction form
    420,460/580,247.04 = 229,485.60/x
  3. Step 3: Cross multiply
    420,460x = 580,247.04 × 229,485.60
  4. Step 4: Simplify right side
    420,460x = 133,158,340,122.62
  5. Step 5: Solve for x
    x = 133,158,340,122.62/420,460
  6. Step 6: Final answer
    x = 316,696.81

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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.