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Finding the Fourth Proportional to 416,662.07, 574,994.58 and 225,675.50

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Solution

The fourth proportional to 416,662.07, 574,994.58 and 225,675.50 is: 311,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,662.07 : 574,994.58 = 225,675.50 : x
  2. Step 2: Convert to fraction form
    416,662.07/574,994.58 = 225,675.50/x
  3. Step 3: Cross multiply
    416,662.07x = 574,994.58 × 225,675.50
  4. Step 4: Simplify right side
    416,662.07x = 129,762,189,338.79
  5. Step 5: Solve for x
    x = 129,762,189,338.79/416,662.07
  6. Step 6: Final answer
    x = 311,432.69

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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.