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Finding the Fourth Proportional to 463,880.59, 695,601.54 and 179,704.24

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Solution

The fourth proportional to 463,880.59, 695,601.54 and 179,704.24 is: 269,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,880.59 : 695,601.54 = 179,704.24 : x
  2. Step 2: Convert to fraction form
    463,880.59/695,601.54 = 179,704.24/x
  3. Step 3: Cross multiply
    463,880.59x = 695,601.54 × 179,704.24
  4. Step 4: Simplify right side
    463,880.59x = 125,002,546,088.53
  5. Step 5: Solve for x
    x = 125,002,546,088.53/463,880.59
  6. Step 6: Final answer
    x = 269,471.39

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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.