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Finding the Fourth Proportional to 322,852.87, 484,296.52 and 98,196.13

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Solution

The fourth proportional to 322,852.87, 484,296.52 and 98,196.13 is: 147,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,852.87 : 484,296.52 = 98,196.13 : x
  2. Step 2: Convert to fraction form
    322,852.87/484,296.52 = 98,196.13/x
  3. Step 3: Cross multiply
    322,852.87x = 484,296.52 × 98,196.13
  4. Step 4: Simplify right side
    322,852.87x = 47,556,044,036.47
  5. Step 5: Solve for x
    x = 47,556,044,036.47/322,852.87
  6. Step 6: Final answer
    x = 147,299.43

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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.