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Finding the Fourth Proportional to 471,041.57, 706,585.44 and 134,105.87

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Solution

The fourth proportional to 471,041.57, 706,585.44 and 134,105.87 is: 201,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,041.57 : 706,585.44 = 134,105.87 : x
  2. Step 2: Convert to fraction form
    471,041.57/706,585.44 = 134,105.87/x
  3. Step 3: Cross multiply
    471,041.57x = 706,585.44 × 134,105.87
  4. Step 4: Simplify right side
    471,041.57x = 94,757,257,429.89
  5. Step 5: Solve for x
    x = 94,757,257,429.89/471,041.57
  6. Step 6: Final answer
    x = 201,165.38

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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.