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Finding the Fourth Proportional to 321,243.52, 481,482.96 and 242,096.80

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Solution

The fourth proportional to 321,243.52, 481,482.96 and 242,096.80 is: 362,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,243.52 : 481,482.96 = 242,096.80 : x
  2. Step 2: Convert to fraction form
    321,243.52/481,482.96 = 242,096.80/x
  3. Step 3: Cross multiply
    321,243.52x = 481,482.96 × 242,096.80
  4. Step 4: Simplify right side
    321,243.52x = 116,565,483,870.53
  5. Step 5: Solve for x
    x = 116,565,483,870.53/321,243.52
  6. Step 6: Final answer
    x = 362,857.07

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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.