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Finding the Fourth Proportional to 469,416.84, 647,795.40 and 254,556.84

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Solution

The fourth proportional to 469,416.84, 647,795.40 and 254,556.84 is: 351,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,416.84 : 647,795.40 = 254,556.84 : x
  2. Step 2: Convert to fraction form
    469,416.84/647,795.40 = 254,556.84/x
  3. Step 3: Cross multiply
    469,416.84x = 647,795.40 × 254,556.84
  4. Step 4: Simplify right side
    469,416.84x = 164,900,749,990.54
  5. Step 5: Solve for x
    x = 164,900,749,990.54/469,416.84
  6. Step 6: Final answer
    x = 351,288.53

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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.