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Finding the Fourth Proportional to 307,296.41, 460,944.65 and 96,950.75

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Solution

The fourth proportional to 307,296.41, 460,944.65 and 96,950.75 is: 145,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,296.41 : 460,944.65 = 96,950.75 : x
  2. Step 2: Convert to fraction form
    307,296.41/460,944.65 = 96,950.75/x
  3. Step 3: Cross multiply
    307,296.41x = 460,944.65 × 96,950.75
  4. Step 4: Simplify right side
    307,296.41x = 44,688,929,525.99
  5. Step 5: Solve for x
    x = 44,688,929,525.99/307,296.41
  6. Step 6: Final answer
    x = 145,426.14

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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.