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Finding the Fourth Proportional to 367,783.90, 507,542.23 and 206,638.86

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Solution

The fourth proportional to 367,783.90, 507,542.23 and 206,638.86 is: 285,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,783.90 : 507,542.23 = 206,638.86 : x
  2. Step 2: Convert to fraction form
    367,783.90/507,542.23 = 206,638.86/x
  3. Step 3: Cross multiply
    367,783.90x = 507,542.23 × 206,638.86
  4. Step 4: Simplify right side
    367,783.90x = 104,877,947,809.06
  5. Step 5: Solve for x
    x = 104,877,947,809.06/367,783.90
  6. Step 6: Final answer
    x = 285,161.88

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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.