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Finding the Fourth Proportional to 321,929.80, 482,702.70 and 197,360.20

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Solution

The fourth proportional to 321,929.80, 482,702.70 and 197,360.20 is: 295,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,929.80 : 482,702.70 = 197,360.20 : x
  2. Step 2: Convert to fraction form
    321,929.80/482,702.70 = 197,360.20/x
  3. Step 3: Cross multiply
    321,929.80x = 482,702.70 × 197,360.20
  4. Step 4: Simplify right side
    321,929.80x = 95,266,301,412.54
  5. Step 5: Solve for x
    x = 95,266,301,412.54/321,929.80
  6. Step 6: Final answer
    x = 295,922.59

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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.