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Finding the Fourth Proportional to 310,949.62, 463,999.31 and 277,439.38

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Solution

The fourth proportional to 310,949.62, 463,999.31 and 277,439.38 is: 413,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,949.62 : 463,999.31 = 277,439.38 : x
  2. Step 2: Convert to fraction form
    310,949.62/463,999.31 = 277,439.38/x
  3. Step 3: Cross multiply
    310,949.62x = 463,999.31 × 277,439.38
  4. Step 4: Simplify right side
    310,949.62x = 128,731,680,886.83
  5. Step 5: Solve for x
    x = 128,731,680,886.83/310,949.62
  6. Step 6: Final answer
    x = 413,995.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.