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Finding the Fourth Proportional to 307,667.85, 461,479.87 and 83,041.08

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Solution

The fourth proportional to 307,667.85, 461,479.87 and 83,041.08 is: 124,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,667.85 : 461,479.87 = 83,041.08 : x
  2. Step 2: Convert to fraction form
    307,667.85/461,479.87 = 83,041.08/x
  3. Step 3: Cross multiply
    307,667.85x = 461,479.87 × 83,041.08
  4. Step 4: Simplify right side
    307,667.85x = 38,321,786,803.06
  5. Step 5: Solve for x
    x = 38,321,786,803.06/307,667.85
  6. Step 6: Final answer
    x = 124,555.71

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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.