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Finding the Fourth Proportional to 416,401.74, 574,633.74 and 225,415.08

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Solution

The fourth proportional to 416,401.74, 574,633.74 and 225,415.08 is: 311,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,401.74 : 574,633.74 = 225,415.08 : x
  2. Step 2: Convert to fraction form
    416,401.74/574,633.74 = 225,415.08/x
  3. Step 3: Cross multiply
    416,401.74x = 574,633.74 × 225,415.08
  4. Step 4: Simplify right side
    416,401.74x = 129,531,110,472.80
  5. Step 5: Solve for x
    x = 129,531,110,472.80/416,401.74
  6. Step 6: Final answer
    x = 311,072.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.