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Finding the Fourth Proportional to 307,403.92, 461,146.20 and 120,391.12

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Solution

The fourth proportional to 307,403.92, 461,146.20 and 120,391.12 is: 180,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,403.92 : 461,146.20 = 120,391.12 : x
  2. Step 2: Convert to fraction form
    307,403.92/461,146.20 = 120,391.12/x
  3. Step 3: Cross multiply
    307,403.92x = 461,146.20 × 120,391.12
  4. Step 4: Simplify right side
    307,403.92x = 55,517,907,501.74
  5. Step 5: Solve for x
    x = 55,517,907,501.74/307,403.92
  6. Step 6: Final answer
    x = 180,602.47

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1.5x scale

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.