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Finding the Fourth Proportional to 465,278.70, 697,921.54 and 254,801.82

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Solution

The fourth proportional to 465,278.70, 697,921.54 and 254,801.82 is: 382,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,278.70 : 697,921.54 = 254,801.82 : x
  2. Step 2: Convert to fraction form
    465,278.70/697,921.54 = 254,801.82/x
  3. Step 3: Cross multiply
    465,278.70x = 697,921.54 × 254,801.82
  4. Step 4: Simplify right side
    465,278.70x = 177,831,678,609.20
  5. Step 5: Solve for x
    x = 177,831,678,609.20/465,278.70
  6. Step 6: Final answer
    x = 382,204.64

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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.