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Finding the Fourth Proportional to 416,624.58, 574,941.75 and 225,637.98

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Solution

The fourth proportional to 416,624.58, 574,941.75 and 225,637.98 is: 311,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,624.58 : 574,941.75 = 225,637.98 : x
  2. Step 2: Convert to fraction form
    416,624.58/574,941.75 = 225,637.98/x
  3. Step 3: Cross multiply
    416,624.58x = 574,941.75 × 225,637.98
  4. Step 4: Simplify right side
    416,624.58x = 129,728,695,087.67
  5. Step 5: Solve for x
    x = 129,728,695,087.67/416,624.58
  6. Step 6: Final answer
    x = 311,380.32

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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.