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Finding the Fourth Proportional to 322,978.08, 484,491.96 and 98,357.52

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Solution

The fourth proportional to 322,978.08, 484,491.96 and 98,357.52 is: 147,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978.08 : 484,491.96 = 98,357.52 : x
  2. Step 2: Convert to fraction form
    322,978.08/484,491.96 = 98,357.52/x
  3. Step 3: Cross multiply
    322,978.08x = 484,491.96 × 98,357.52
  4. Step 4: Simplify right side
    322,978.08x = 47,653,427,645.54
  5. Step 5: Solve for x
    x = 47,653,427,645.54/322,978.08
  6. Step 6: Final answer
    x = 147,543.84

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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.