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Finding the Fourth Proportional to 327,705.10, 492,076.05 and 239,577.10

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Solution

The fourth proportional to 327,705.10, 492,076.05 and 239,577.10 is: 359,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,705.10 : 492,076.05 = 239,577.10 : x
  2. Step 2: Convert to fraction form
    327,705.10/492,076.05 = 239,577.10/x
  3. Step 3: Cross multiply
    327,705.10x = 492,076.05 × 239,577.10
  4. Step 4: Simplify right side
    327,705.10x = 117,890,153,038.46
  5. Step 5: Solve for x
    x = 117,890,153,038.46/327,705.10
  6. Step 6: Final answer
    x = 359,744.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.