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Finding the Fourth Proportional to 503,086.10, 754,532.84 and 195,338.07

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Solution

The fourth proportional to 503,086.10, 754,532.84 and 195,338.07 is: 292,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,086.10 : 754,532.84 = 195,338.07 : x
  2. Step 2: Convert to fraction form
    503,086.10/754,532.84 = 195,338.07/x
  3. Step 3: Cross multiply
    503,086.10x = 754,532.84 × 195,338.07
  4. Step 4: Simplify right side
    503,086.10x = 147,388,987,740.53
  5. Step 5: Solve for x
    x = 147,388,987,740.53/503,086.10
  6. Step 6: Final answer
    x = 292,969.71

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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.