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Finding the Fourth Proportional to 253,954.30, 380,934.69 and 175,047.34

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Solution

The fourth proportional to 253,954.30, 380,934.69 and 175,047.34 is: 262,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,954.30 : 380,934.69 = 175,047.34 : x
  2. Step 2: Convert to fraction form
    253,954.30/380,934.69 = 175,047.34/x
  3. Step 3: Cross multiply
    253,954.30x = 380,934.69 × 175,047.34
  4. Step 4: Simplify right side
    253,954.30x = 66,681,604,198.22
  5. Step 5: Solve for x
    x = 66,681,604,198.22/253,954.30
  6. Step 6: Final answer
    x = 262,573.24

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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.