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Finding the Fourth Proportional to 367,021.90, 506,510.31 and 205,928.02

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Solution

The fourth proportional to 367,021.90, 506,510.31 and 205,928.02 is: 284,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,021.90 : 506,510.31 = 205,928.02 : x
  2. Step 2: Convert to fraction form
    367,021.90/506,510.31 = 205,928.02/x
  3. Step 3: Cross multiply
    367,021.90x = 506,510.31 × 205,928.02
  4. Step 4: Simplify right side
    367,021.90x = 104,304,665,247.89
  5. Step 5: Solve for x
    x = 104,304,665,247.89/367,021.90
  6. Step 6: Final answer
    x = 284,191.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.