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Finding the Fourth Proportional to 307,452.33, 461,140.34 and 82,830.33

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Solution

The fourth proportional to 307,452.33, 461,140.34 and 82,830.33 is: 124,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,452.33 : 461,140.34 = 82,830.33 : x
  2. Step 2: Convert to fraction form
    307,452.33/461,140.34 = 82,830.33/x
  3. Step 3: Cross multiply
    307,452.33x = 461,140.34 × 82,830.33
  4. Step 4: Simplify right side
    307,452.33x = 38,196,406,124.36
  5. Step 5: Solve for x
    x = 38,196,406,124.36/307,452.33
  6. Step 6: Final answer
    x = 124,235.21

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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.