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Finding the Fourth Proportional to 472,410.95, 708,651.96 and 135,448.92

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Solution

The fourth proportional to 472,410.95, 708,651.96 and 135,448.92 is: 203,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,410.95 : 708,651.96 = 135,448.92 : x
  2. Step 2: Convert to fraction form
    472,410.95/708,651.96 = 135,448.92/x
  3. Step 3: Cross multiply
    472,410.95x = 708,651.96 × 135,448.92
  4. Step 4: Simplify right side
    472,410.95x = 95,986,142,637.88
  5. Step 5: Solve for x
    x = 95,986,142,637.88/472,410.95
  6. Step 6: Final answer
    x = 203,183.57

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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.