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Finding the Fourth Proportional to 468,899.40, 647,081.81 and 254,039.46

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Solution

The fourth proportional to 468,899.40, 647,081.81 and 254,039.46 is: 350,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,899.40 : 647,081.81 = 254,039.46 : x
  2. Step 2: Convert to fraction form
    468,899.40/647,081.81 = 254,039.46/x
  3. Step 3: Cross multiply
    468,899.40x = 647,081.81 × 254,039.46
  4. Step 4: Simplify right side
    468,899.40x = 164,384,312,318.03
  5. Step 5: Solve for x
    x = 164,384,312,318.03/468,899.40
  6. Step 6: Final answer
    x = 350,574.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.