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Finding the Fourth Proportional to 516,897.90, 775,029.33 and 200,986.56

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Solution

The fourth proportional to 516,897.90, 775,029.33 and 200,986.56 is: 301,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,897.90 : 775,029.33 = 200,986.56 : x
  2. Step 2: Convert to fraction form
    516,897.90/775,029.33 = 200,986.56/x
  3. Step 3: Cross multiply
    516,897.90x = 775,029.33 × 200,986.56
  4. Step 4: Simplify right side
    516,897.90x = 155,770,478,935.81
  5. Step 5: Solve for x
    x = 155,770,478,935.81/516,897.90
  6. Step 6: Final answer
    x = 301,356.38

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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.