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Finding the Fourth Proportional to 420,358.21, 580,108.32 and 229,382.08

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Solution

The fourth proportional to 420,358.21, 580,108.32 and 229,382.08 is: 316,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,358.21 : 580,108.32 = 229,382.08 : x
  2. Step 2: Convert to fraction form
    420,358.21/580,108.32 = 229,382.08/x
  3. Step 3: Cross multiply
    420,358.21x = 580,108.32 × 229,382.08
  4. Step 4: Simplify right side
    420,358.21x = 133,066,450,166.36
  5. Step 5: Solve for x
    x = 133,066,450,166.36/420,358.21
  6. Step 6: Final answer
    x = 316,554.90

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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.