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Finding the Fourth Proportional to 307,295, 460,989.99 and 104,843.71

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Solution

The fourth proportional to 307,295, 460,989.99 and 104,843.71 is: 157,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,295 : 460,989.99 = 104,843.71 : x
  2. Step 2: Convert to fraction form
    307,295/460,989.99 = 104,843.71/x
  3. Step 3: Cross multiply
    307,295x = 460,989.99 × 104,843.71
  4. Step 4: Simplify right side
    307,295x = 48,331,900,824.46
  5. Step 5: Solve for x
    x = 48,331,900,824.46/307,295
  6. Step 6: Final answer
    x = 157,281.77

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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.