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Finding the Fourth Proportional to 271,825.80, 407,738.70 and 258,703.80

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Solution

The fourth proportional to 271,825.80, 407,738.70 and 258,703.80 is: 388,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,825.80 : 407,738.70 = 258,703.80 : x
  2. Step 2: Convert to fraction form
    271,825.80/407,738.70 = 258,703.80/x
  3. Step 3: Cross multiply
    271,825.80x = 407,738.70 × 258,703.80
  4. Step 4: Simplify right side
    271,825.80x = 105,483,551,097.06
  5. Step 5: Solve for x
    x = 105,483,551,097.06/271,825.80
  6. Step 6: Final answer
    x = 388,055.70

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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.