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Finding the Fourth Proportional to 468,918.10, 647,101.87 and 254,045.35

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Solution

The fourth proportional to 468,918.10, 647,101.87 and 254,045.35 is: 350,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,918.10 : 647,101.87 = 254,045.35 : x
  2. Step 2: Convert to fraction form
    468,918.10/647,101.87 = 254,045.35/x
  3. Step 3: Cross multiply
    468,918.10x = 647,101.87 × 254,045.35
  4. Step 4: Simplify right side
    468,918.10x = 164,393,221,049.81
  5. Step 5: Solve for x
    x = 164,393,221,049.81/468,918.10
  6. Step 6: Final answer
    x = 350,579.82

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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.