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Finding the Fourth Proportional to 313,934.55, 471,111.22 and 114,254.88

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Solution

The fourth proportional to 313,934.55, 471,111.22 and 114,254.88 is: 171,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,934.55 : 471,111.22 = 114,254.88 : x
  2. Step 2: Convert to fraction form
    313,934.55/471,111.22 = 114,254.88/x
  3. Step 3: Cross multiply
    313,934.55x = 471,111.22 × 114,254.88
  4. Step 4: Simplify right side
    313,934.55x = 53,826,755,907.75
  5. Step 5: Solve for x
    x = 53,826,755,907.75/313,934.55
  6. Step 6: Final answer
    x = 171,458.53

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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.