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Finding the Fourth Proportional to 417,592.45, 626,625.62 and 225,464.30

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Solution

The fourth proportional to 417,592.45, 626,625.62 and 225,464.30 is: 338,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,592.45 : 626,625.62 = 225,464.30 : x
  2. Step 2: Convert to fraction form
    417,592.45/626,625.62 = 225,464.30/x
  3. Step 3: Cross multiply
    417,592.45x = 626,625.62 × 225,464.30
  4. Step 4: Simplify right side
    417,592.45x = 141,281,706,775.37
  5. Step 5: Solve for x
    x = 141,281,706,775.37/417,592.45
  6. Step 6: Final answer
    x = 338,324.38

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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.