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Finding the Fourth Proportional to 321,877.60, 482,816.40 and 197,288.80

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Solution

The fourth proportional to 321,877.60, 482,816.40 and 197,288.80 is: 295,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,877.60 : 482,816.40 = 197,288.80 : x
  2. Step 2: Convert to fraction form
    321,877.60/482,816.40 = 197,288.80/x
  3. Step 3: Cross multiply
    321,877.60x = 482,816.40 × 197,288.80
  4. Step 4: Simplify right side
    321,877.60x = 95,254,268,176.32
  5. Step 5: Solve for x
    x = 95,254,268,176.32/321,877.60
  6. Step 6: Final answer
    x = 295,933.20

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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.