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Finding the Fourth Proportional to 471,465.12, 707,221.02 and 134,555.46

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Solution

The fourth proportional to 471,465.12, 707,221.02 and 134,555.46 is: 201,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,465.12 : 707,221.02 = 134,555.46 : x
  2. Step 2: Convert to fraction form
    471,465.12/707,221.02 = 134,555.46/x
  3. Step 3: Cross multiply
    471,465.12x = 707,221.02 × 134,555.46
  4. Step 4: Simplify right side
    471,465.12x = 95,160,449,667.77
  5. Step 5: Solve for x
    x = 95,160,449,667.77/471,465.12
  6. Step 6: Final answer
    x = 201,839.85

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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.