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Finding the Fourth Proportional to 307,662.46, 461,471.81 and 83,035.69

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Solution

The fourth proportional to 307,662.46, 461,471.81 and 83,035.69 is: 124,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,662.46 : 461,471.81 = 83,035.69 : x
  2. Step 2: Convert to fraction form
    307,662.46/461,471.81 = 83,035.69/x
  3. Step 3: Cross multiply
    307,662.46x = 461,471.81 × 83,035.69
  4. Step 4: Simplify right side
    307,662.46x = 38,318,630,158.90
  5. Step 5: Solve for x
    x = 38,318,630,158.90/307,662.46
  6. Step 6: Final answer
    x = 124,547.63

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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.