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Finding the Fourth Proportional to 367,262.28, 506,872.80 and 206,127

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Solution

The fourth proportional to 367,262.28, 506,872.80 and 206,127 is: 284,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,262.28 : 506,872.80 = 206,127 : x
  2. Step 2: Convert to fraction form
    367,262.28/506,872.80 = 206,127/x
  3. Step 3: Cross multiply
    367,262.28x = 506,872.80 × 206,127
  4. Step 4: Simplify right side
    367,262.28x = 104,480,169,645.60
  5. Step 5: Solve for x
    x = 104,480,169,645.60/367,262.28
  6. Step 6: Final answer
    x = 284,483.80

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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.