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Finding the Fourth Proportional to 319,467.60, 479,201.40 and 97,822.80

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Solution

The fourth proportional to 319,467.60, 479,201.40 and 97,822.80 is: 146,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,467.60 : 479,201.40 = 97,822.80 : x
  2. Step 2: Convert to fraction form
    319,467.60/479,201.40 = 97,822.80/x
  3. Step 3: Cross multiply
    319,467.60x = 479,201.40 × 97,822.80
  4. Step 4: Simplify right side
    319,467.60x = 46,876,822,711.92
  5. Step 5: Solve for x
    x = 46,876,822,711.92/319,467.60
  6. Step 6: Final answer
    x = 146,734.20

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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.