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Finding the Fourth Proportional to 367,381.71, 506,986.50 and 206,237.07

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Solution

The fourth proportional to 367,381.71, 506,986.50 and 206,237.07 is: 284,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,381.71 : 506,986.50 = 206,237.07 : x
  2. Step 2: Convert to fraction form
    367,381.71/506,986.50 = 206,237.07/x
  3. Step 3: Cross multiply
    367,381.71x = 506,986.50 × 206,237.07
  4. Step 4: Simplify right side
    367,381.71x = 104,559,410,289.56
  5. Step 5: Solve for x
    x = 104,559,410,289.56/367,381.71
  6. Step 6: Final answer
    x = 284,607.01

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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.