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Finding the Fourth Proportional to 382,243.02, 573,807.46 and 205,096.02

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Solution

The fourth proportional to 382,243.02, 573,807.46 and 205,096.02 is: 307,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,243.02 : 573,807.46 = 205,096.02 : x
  2. Step 2: Convert to fraction form
    382,243.02/573,807.46 = 205,096.02/x
  3. Step 3: Cross multiply
    382,243.02x = 573,807.46 × 205,096.02
  4. Step 4: Simplify right side
    382,243.02x = 117,685,626,292.31
  5. Step 5: Solve for x
    x = 117,685,626,292.31/382,243.02
  6. Step 6: Final answer
    x = 307,881.69

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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.