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Finding the Fourth Proportional to 307,506.58, 461,221.71 and 82,884.58

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Solution

The fourth proportional to 307,506.58, 461,221.71 and 82,884.58 is: 124,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,506.58 : 461,221.71 = 82,884.58 : x
  2. Step 2: Convert to fraction form
    307,506.58/461,221.71 = 82,884.58/x
  3. Step 3: Cross multiply
    307,506.58x = 461,221.71 × 82,884.58
  4. Step 4: Simplify right side
    307,506.58x = 38,228,167,720.23
  5. Step 5: Solve for x
    x = 38,228,167,720.23/307,506.58
  6. Step 6: Final answer
    x = 124,316.58

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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.