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Finding the Fourth Proportional to 420,382.41, 580,140.02 and 229,408.10

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Solution

The fourth proportional to 420,382.41, 580,140.02 and 229,408.10 is: 316,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,382.41 : 580,140.02 = 229,408.10 : x
  2. Step 2: Convert to fraction form
    420,382.41/580,140.02 = 229,408.10/x
  3. Step 3: Cross multiply
    420,382.41x = 580,140.02 × 229,408.10
  4. Step 4: Simplify right side
    420,382.41x = 133,088,819,570.51
  5. Step 5: Solve for x
    x = 133,088,819,570.51/420,382.41
  6. Step 6: Final answer
    x = 316,589.89

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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.