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Finding the Fourth Proportional to 301,564.89, 451,658.37 and 143,904.06

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Solution

The fourth proportional to 301,564.89, 451,658.37 and 143,904.06 is: 215,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,564.89 : 451,658.37 = 143,904.06 : x
  2. Step 2: Convert to fraction form
    301,564.89/451,658.37 = 143,904.06/x
  3. Step 3: Cross multiply
    301,564.89x = 451,658.37 × 143,904.06
  4. Step 4: Simplify right side
    301,564.89x = 64,995,473,175.98
  5. Step 5: Solve for x
    x = 64,995,473,175.98/301,564.89
  6. Step 6: Final answer
    x = 215,527.32

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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.