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Finding the Fourth Proportional to 519,763.50, 717,273.66 and 281,299.50

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Solution

The fourth proportional to 519,763.50, 717,273.66 and 281,299.50 is: 388,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,763.50 : 717,273.66 = 281,299.50 : x
  2. Step 2: Convert to fraction form
    519,763.50/717,273.66 = 281,299.50/x
  3. Step 3: Cross multiply
    519,763.50x = 717,273.66 × 281,299.50
  4. Step 4: Simplify right side
    519,763.50x = 201,768,721,921.17
  5. Step 5: Solve for x
    x = 201,768,721,921.17/519,763.50
  6. Step 6: Final answer
    x = 388,193.33

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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.