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Finding the Fourth Proportional to 322,296.32, 483,320.16 and 122,511.68

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Solution

The fourth proportional to 322,296.32, 483,320.16 and 122,511.68 is: 183,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,296.32 : 483,320.16 = 122,511.68 : x
  2. Step 2: Convert to fraction form
    322,296.32/483,320.16 = 122,511.68/x
  3. Step 3: Cross multiply
    322,296.32x = 483,320.16 × 122,511.68
  4. Step 4: Simplify right side
    322,296.32x = 59,212,364,779.47
  5. Step 5: Solve for x
    x = 59,212,364,779.47/322,296.32
  6. Step 6: Final answer
    x = 183,720.26

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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.