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Finding the Fourth Proportional to 460,447.54, 690,719.32 and 176,137.54

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Solution

The fourth proportional to 460,447.54, 690,719.32 and 176,137.54 is: 264,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,447.54 : 690,719.32 = 176,137.54 : x
  2. Step 2: Convert to fraction form
    460,447.54/690,719.32 = 176,137.54/x
  3. Step 3: Cross multiply
    460,447.54x = 690,719.32 × 176,137.54
  4. Step 4: Simplify right side
    460,447.54x = 121,661,601,855.27
  5. Step 5: Solve for x
    x = 121,661,601,855.27/460,447.54
  6. Step 6: Final answer
    x = 264,224.68

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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.