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Finding the Fourth Proportional to 307,716.40, 461,704.20 and 167,575.60

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Solution

The fourth proportional to 307,716.40, 461,704.20 and 167,575.60 is: 251,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,716.40 : 461,704.20 = 167,575.60 : x
  2. Step 2: Convert to fraction form
    307,716.40/461,704.20 = 167,575.60/x
  3. Step 3: Cross multiply
    307,716.40x = 461,704.20 × 167,575.60
  4. Step 4: Simplify right side
    307,716.40x = 77,370,358,337.52
  5. Step 5: Solve for x
    x = 77,370,358,337.52/307,716.40
  6. Step 6: Final answer
    x = 251,433.98

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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.