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Finding the Fourth Proportional to 325,980.64, 489,015.24 and 101,299.06

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Solution

The fourth proportional to 325,980.64, 489,015.24 and 101,299.06 is: 151,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,980.64 : 489,015.24 = 101,299.06 : x
  2. Step 2: Convert to fraction form
    325,980.64/489,015.24 = 101,299.06/x
  3. Step 3: Cross multiply
    325,980.64x = 489,015.24 × 101,299.06
  4. Step 4: Simplify right side
    325,980.64x = 49,536,784,137.67
  5. Step 5: Solve for x
    x = 49,536,784,137.67/325,980.64
  6. Step 6: Final answer
    x = 151,962.35

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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.