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Finding the Fourth Proportional to 313,933.55, 471,109.72 and 114,253.88

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Solution

The fourth proportional to 313,933.55, 471,109.72 and 114,253.88 is: 171,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,933.55 : 471,109.72 = 114,253.88 : x
  2. Step 2: Convert to fraction form
    313,933.55/471,109.72 = 114,253.88/x
  3. Step 3: Cross multiply
    313,933.55x = 471,109.72 × 114,253.88
  4. Step 4: Simplify right side
    313,933.55x = 53,826,114,307.85
  5. Step 5: Solve for x
    x = 53,826,114,307.85/313,933.55
  6. Step 6: Final answer
    x = 171,457.03

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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.