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Finding the Fourth Proportional to 307,567.04, 461,129.14 and 188,993.40

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Solution

The fourth proportional to 307,567.04, 461,129.14 and 188,993.40 is: 283,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,567.04 : 461,129.14 = 188,993.40 : x
  2. Step 2: Convert to fraction form
    307,567.04/461,129.14 = 188,993.40/x
  3. Step 3: Cross multiply
    307,567.04x = 461,129.14 × 188,993.40
  4. Step 4: Simplify right side
    307,567.04x = 87,150,364,007.68
  5. Step 5: Solve for x
    x = 87,150,364,007.68/307,567.04
  6. Step 6: Final answer
    x = 283,354.04

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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.