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Finding the Fourth Proportional to 325,916.64, 488,781.48 and 98,234.31

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Solution

The fourth proportional to 325,916.64, 488,781.48 and 98,234.31 is: 147,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,916.64 : 488,781.48 = 98,234.31 : x
  2. Step 2: Convert to fraction form
    325,916.64/488,781.48 = 98,234.31/x
  3. Step 3: Cross multiply
    325,916.64x = 488,781.48 × 98,234.31
  4. Step 4: Simplify right side
    325,916.64x = 48,015,111,428.58
  5. Step 5: Solve for x
    x = 48,015,111,428.58/325,916.64
  6. Step 6: Final answer
    x = 147,323.29

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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.