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Finding the Fourth Proportional to 306,107.47, 459,165.84 and 116,578.33

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Solution

The fourth proportional to 306,107.47, 459,165.84 and 116,578.33 is: 174,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,107.47 : 459,165.84 = 116,578.33 : x
  2. Step 2: Convert to fraction form
    306,107.47/459,165.84 = 116,578.33/x
  3. Step 3: Cross multiply
    306,107.47x = 459,165.84 × 116,578.33
  4. Step 4: Simplify right side
    306,107.47x = 53,528,786,854.44
  5. Step 5: Solve for x
    x = 53,528,786,854.44/306,107.47
  6. Step 6: Final answer
    x = 174,869.26

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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.