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Finding the Fourth Proportional to 433,462.97, 650,381.37 and 167,410.32

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Solution

The fourth proportional to 433,462.97, 650,381.37 and 167,410.32 is: 251,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,462.97 : 650,381.37 = 167,410.32 : x
  2. Step 2: Convert to fraction form
    433,462.97/650,381.37 = 167,410.32/x
  3. Step 3: Cross multiply
    433,462.97x = 650,381.37 × 167,410.32
  4. Step 4: Simplify right side
    433,462.97x = 108,880,553,448.74
  5. Step 5: Solve for x
    x = 108,880,553,448.74/433,462.97
  6. Step 6: Final answer
    x = 251,187.67

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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.