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Finding the Fourth Proportional to 420,394.40, 580,156.60 and 229,420.12

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Solution

The fourth proportional to 420,394.40, 580,156.60 and 229,420.12 is: 316,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,394.40 : 580,156.60 = 229,420.12 : x
  2. Step 2: Convert to fraction form
    420,394.40/580,156.60 = 229,420.12/x
  3. Step 3: Cross multiply
    420,394.40x = 580,156.60 × 229,420.12
  4. Step 4: Simplify right side
    420,394.40x = 133,099,596,790.79
  5. Step 5: Solve for x
    x = 133,099,596,790.79/420,394.40
  6. Step 6: Final answer
    x = 316,606.49

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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.