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Finding the Fourth Proportional to 420,410.40, 580,168.44 and 229,427.80

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Solution

The fourth proportional to 420,410.40, 580,168.44 and 229,427.80 is: 316,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,410.40 : 580,168.44 = 229,427.80 : x
  2. Step 2: Convert to fraction form
    420,410.40/580,168.44 = 229,427.80/x
  3. Step 3: Cross multiply
    420,410.40x = 580,168.44 × 229,427.80
  4. Step 4: Simplify right side
    420,410.40x = 133,106,768,818.63
  5. Step 5: Solve for x
    x = 133,106,768,818.63/420,410.40
  6. Step 6: Final answer
    x = 316,611.50

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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.