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Finding the Fourth Proportional to 498,556.36, 747,933.12 and 183,016

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Solution

The fourth proportional to 498,556.36, 747,933.12 and 183,016 is: 274,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,556.36 : 747,933.12 = 183,016 : x
  2. Step 2: Convert to fraction form
    498,556.36/747,933.12 = 183,016/x
  3. Step 3: Cross multiply
    498,556.36x = 747,933.12 × 183,016
  4. Step 4: Simplify right side
    498,556.36x = 136,883,727,889.92
  5. Step 5: Solve for x
    x = 136,883,727,889.92/498,556.36
  6. Step 6: Final answer
    x = 274,560.19

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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.