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Finding the Fourth Proportional to 325,838.42, 488,756.64 and 82,679.01

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Solution

The fourth proportional to 325,838.42, 488,756.64 and 82,679.01 is: 124,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,838.42 : 488,756.64 = 82,679.01 : x
  2. Step 2: Convert to fraction form
    325,838.42/488,756.64 = 82,679.01/x
  3. Step 3: Cross multiply
    325,838.42x = 488,756.64 × 82,679.01
  4. Step 4: Simplify right side
    325,838.42x = 40,409,915,126.13
  5. Step 5: Solve for x
    x = 40,409,915,126.13/325,838.42
  6. Step 6: Final answer
    x = 124,018.27

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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.