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Finding the Fourth Proportional to 327,702.60, 492,072.30 and 239,574.60

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Solution

The fourth proportional to 327,702.60, 492,072.30 and 239,574.60 is: 359,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,702.60 : 492,072.30 = 239,574.60 : x
  2. Step 2: Convert to fraction form
    327,702.60/492,072.30 = 239,574.60/x
  3. Step 3: Cross multiply
    327,702.60x = 492,072.30 × 239,574.60
  4. Step 4: Simplify right side
    327,702.60x = 117,888,024,443.58
  5. Step 5: Solve for x
    x = 117,888,024,443.58/327,702.60
  6. Step 6: Final answer
    x = 359,740.89

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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.