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Finding the Fourth Proportional to 420,639.09, 580,478.94 and 229,652.48

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Solution

The fourth proportional to 420,639.09, 580,478.94 and 229,652.48 is: 316,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,639.09 : 580,478.94 = 229,652.48 : x
  2. Step 2: Convert to fraction form
    420,639.09/580,478.94 = 229,652.48/x
  3. Step 3: Cross multiply
    420,639.09x = 580,478.94 × 229,652.48
  4. Step 4: Simplify right side
    420,639.09x = 133,308,425,256.38
  5. Step 5: Solve for x
    x = 133,308,425,256.38/420,639.09
  6. Step 6: Final answer
    x = 316,918.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.