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Finding the Fourth Proportional to 325,838.16, 488,756.26 and 82,678.76

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Solution

The fourth proportional to 325,838.16, 488,756.26 and 82,678.76 is: 124,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,838.16 : 488,756.26 = 82,678.76 : x
  2. Step 2: Convert to fraction form
    325,838.16/488,756.26 = 82,678.76/x
  3. Step 3: Cross multiply
    325,838.16x = 488,756.26 × 82,678.76
  4. Step 4: Simplify right side
    325,838.16x = 40,409,761,519.04
  5. Step 5: Solve for x
    x = 40,409,761,519.04/325,838.16
  6. Step 6: Final answer
    x = 124,017.89

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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.