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Finding the Fourth Proportional to 382,244.02, 573,808.96 and 205,097.02

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Solution

The fourth proportional to 382,244.02, 573,808.96 and 205,097.02 is: 307,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,244.02 : 573,808.96 = 205,097.02 : x
  2. Step 2: Convert to fraction form
    382,244.02/573,808.96 = 205,097.02/x
  3. Step 3: Cross multiply
    382,244.02x = 573,808.96 × 205,097.02
  4. Step 4: Simplify right side
    382,244.02x = 117,686,507,745.30
  5. Step 5: Solve for x
    x = 117,686,507,745.30/382,244.02
  6. Step 6: Final answer
    x = 307,883.19

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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.