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Finding the Fourth Proportional to 468,948.64, 647,149.37 and 254,088.87

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Solution

The fourth proportional to 468,948.64, 647,149.37 and 254,088.87 is: 350,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,948.64 : 647,149.37 = 254,088.87 : x
  2. Step 2: Convert to fraction form
    468,948.64/647,149.37 = 254,088.87/x
  3. Step 3: Cross multiply
    468,948.64x = 647,149.37 × 254,088.87
  4. Step 4: Simplify right side
    468,948.64x = 164,433,452,491.94
  5. Step 5: Solve for x
    x = 164,433,452,491.94/468,948.64
  6. Step 6: Final answer
    x = 350,642.78

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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.