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Finding the Fourth Proportional to 307,452.49, 461,318.85 and 157,797.86

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Solution

The fourth proportional to 307,452.49, 461,318.85 and 157,797.86 is: 236,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,452.49 : 461,318.85 = 157,797.86 : x
  2. Step 2: Convert to fraction form
    307,452.49/461,318.85 = 157,797.86/x
  3. Step 3: Cross multiply
    307,452.49x = 461,318.85 × 157,797.86
  4. Step 4: Simplify right side
    307,452.49x = 72,795,127,307.66
  5. Step 5: Solve for x
    x = 72,795,127,307.66/307,452.49
  6. Step 6: Final answer
    x = 236,768.70

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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.